Numerical Problems
Brief Answer Questions
1. Following information is provided to you:
Sales Rs. …………………………4,00,000
Variable manufacturing overhead …….30,000
Direct materials…………………………………. 50,000
Fixed manufacturing overhead …………………50,000
Direct labour ……………………………………… 80,000
Fixed administrative overhead………………….20,000
Variable administrative overhead……….. 10,000
Required: Income statement under variable costing.
Solution
Income Statement under Variable Costing
Particulars | Rs. | Rs. |
Sales revenue ……………………………………………………………………………… | 4,00,000 | |
Less: Variable manufacturing cost of goods sold: | ||
Direct material……………………………………………………………………………… | 50,000 | |
Direct labour………………………………………………………………………………… | 80,000 | |
Variable manufacturing overhead ………………………………………………………. | 30,000 | |
Variable cost of goods manufactured…………………………………………………… | 1,60,000 | |
Add: Beginning inventory ………………………………………………………………………. | 0 | |
1,60,000 | ||
Less: Ending inventory ………………………………………………………………………….. | 0 | 1,60,000 |
Gross contribution margin…………………………………………………………….. | 2,40,000 | |
Less: Non-manufacturing cost: Variable administrative overhead……………………………………………………….. | 10,000 | 10,000 |
Net contribution margin | 2,30,000 | |
Less: Fixed cost: Fixed manufacturing overhead …………………………………………………………. | 50,000 | |
Fixed administrative overhead…………………………………………………………… | 20,000 | 70,000 |
Net income…………………………………………………………………………………. | 1,60,000 |
2. A manufacturing company supplied the following particulars for the year ending 31st Chaitra 2070:
Production ……………………………………………………………… 25,000 units
Sales ………………………………………………………………………. 20,000 units
Closing stock ……………………………………………………………. 5,000 units
Variable manufacturing overhead ………………………… Rs. 10 per unit
Fixed manufacturing overhead …………………………………. Rs. 150,000
Variable selling and administrative cost ………………….. Rs. 2 per unit
Fixed selling and administrative cost ………………………….. Rs. 40,000
Unit selling price ……………………………………………………………… Rs. 25
Required: Income statement under variable costing
Ans: Rs. 70,000
Solution
Income Statement under Variable Costing
Particulars | Rs. | Rs. |
Sales revenue @ Rs. 25………………………………………………………………………… Less: Variable cost of goods sold @ Rs. 10…………………………………………………. Add: Beginning stock @ Rs. 10………………………………………………………………… Less: Closing stock @ Rs. 10………………………………………………………………….. | 250,000 – (50,000) | 500,000 |
Gross contribution margin …………………………………………………………………… Less: Non-manufacturing variable cost……………………………………………………….. Variable selling and administrative overhead @ Rs. 2………………………………. | 300,000 40,000 | |
Net contribution margin …………………………………………………………………………. Less: Fixed cost: Manufacturing overhead …………………………………………………………………. Selling and administrative overhead …………………………………………………… | 150,000 40,000 | 260,000 190,000 |
Net income ………………………………………………………………………………………. | 70,000 |
3. A company manufactures a single product; the operating date for period is given below:
Production units …………………….. 2,000 units Fixed manufacturing cost ………………….. Rs. 5,000
Sales units ……………………………… 1,500 units Fixed selling overhead …………………….. Rs. 10,000
Prime cost ………………………… Rs. 18 per unit Variable selling overhead ……………….. 5% of sales
Selling price per unit ……………………… Rs. 40
Required: Income statement under variable costing
Ans: Rs. 15,000
Solution
Income Statement under Variable Costing
Particulars | Rs. | Rs. |
Sales revenue (1,500 units @ Rs. 40)………………………………………………………… Less: Variable manufacturing cost of goods sold: Prime cost (2,000 units @ Rs. 18)……………………………………………………… Less: Closing stock (500 unit s@ Rs. 18)……………………………………………… | 36,000 9,000 | 60,000 27,000 |
Gross contribution margin …………………………………………………………………… Less: Non-manufacturing variable cost……………………………………………………….. Variable selling and administrative overhead (5% of sales) | 33,000 3,000 | |
Net contribution margin …………………………………………………………………………. Less: Fixed cost: Fixed manufacturing cost…………………………………………………………………. Fixed selling overhead …………………………………………………………………… | 5,000 10,000 | 30,000 15,000 |
Net income ………………………………………………………………………………………. | 15,000 |
4. Following information is provided to you:
Sales Rs. 3,00,000
Variable manufacturing overhead Rs. 30,000
Direct materials 60,000
Fixed manufacturing overhead 50,000
Direct labour . 80,000
Fixed administrative overhead 20,000
Variable administrative overhea 10,000
Required:
- Income statement under absorption costing.
Ans: Rs. 50,000
Solution
Income Statement under Absorption Costing
Particulars | Rs. | Rs. |
Sales revenue ……………………………………………………………………………… | 3,00,000 | |
Less: Cost of goods sold: | ||
Direct material……………………………………………………………………………… | 60,000 | |
Direct labour………………………………………………………………………………… | 80,000 | |
Variable manufacturing overhead………………………………………………………. | 30,000 | |
Fixed manufacturing overhead………………………………………………………….. | 50,000 | |
Cost of goods manufactured…………………………………………………………….. | 2,20,000 | |
Add: Beginning inventory ………………………………………………………………………. | 0 | |
2,20,000 | ||
Less: Ending inventory ………………………………………………………………………….. | 0 | 2,20,000 |
Gross margin……………………………………………………………………………… | 80,000 | |
Less: Non-manufacturing cost: Variable administrative overhead ………………………………………………………. | 10,000 | |
Fixed administrative overhead …………………………………………………………. | 20,000 | 30,000 |
Net income…………………………………………………………………………………. | 50,000 |
5. A manufacturing company with normal capacity of 20,000 units furnished you the following information:
Beginning inventory………………… 3,000 units….. Fixed manufacturing overhead …………. Rs. 50,000
Units produced during the year . 18,000 units….. Units sold during the year …………….. 20,000 units
Standard variable cost …………………. Rs. 6.50….. Unit selling price ………………………………….. Rs. 12
Fixed selling and distribution overheads Rs. 5,000
Required:
- Income statement under absorption costing
Ans: Rs. 50,000
Solution
Given:
Normal capacity (NC) = 20,000 units
Total manufacturing fixed cost (TMFC) = Rs. 50,000
Manufacturing fixed per unit = = = Rs. 2.50
Closing stock = Opening stock + Production – Sales = 3,000 + 18,000 – 20,000 = 1,000 units
Income Statement under Absorption Costing
Particulars | Rs. |
Sales revenue (Rs 12 ´ 20,000)…………………………………………………………………….. | 2,40,000 |
Manufacturing cost of goods sold : Standard variable cost (Rs. 6.50 ´ 18,000 units) ………………………………. Fixed manufacturing overhead (Rs. 2.50 ´ 18,000 units)………………………………. | 1,17,000 45,000 |
Manufacturing cost of production @ Rs. 9 per unit Add: Opening stock (Rs. 9 ´ 3,000)…………………………………………… Less: Closing stock (Rs. 9 ´ 1,000)…………………………………………… Add: Under absorption of manufacturing fixed cost (50,000 – 45,000) | 1,62,000 27,000 (9,000) 5,000 |
Manufacturing cost of goods sold …………………………………………………………………….. | 1,85,000 |
Gross profit margin ………………………………………………………………………………………… | 55,000 |
Less: Non-manufacturing cost: Fixed selling and distribution overheads…………………………………………………………… | 5,000 |
Net profit before tax ………………………………… | 50,000 |
- Net income as per variable costing is Rs. 8,00,000. Beginning and ending inventory is 20,000 units and 25,000 units respectively. Manufacturing cost of production @ Rs. 10 per unit under absorption costing and variable manufacturing overhead was Rs. 4 per unit
Required: Calculate net income under absorption costing
Ans: Rs. 8,30,000
Solution
Given:
Manufacturing fixed cost per unit = Mfg. cost of production per unit – Var. mfg. overhead per unit
= Rs. 10 – Rs. 4 = Rs. 6
Calculation of Reconcile Profit under Absorption Costing
Particulars | Rs. |
Net profit as per variable costing ………………………………………………………………………….. Add: Fixed mfg. cost of closing stock (25,000 ´ 6)…………………………………………………………….. Less: Fixed mfg. cost of opening stock (20,000 ´ 6)…………………………………………………………… | 8,00,000 1,50,000 (1,20,000) |
Net profit as per absorption costing …………………………………………………………………… | 8,30,000 |
OR
Net profit as per variable costing = Profit as per absorption costing ± Change in stock in unit × Mfg. FCPU
= 800,000 + (25,000 – 20,000) × 6
= Rs. 530,000
Short Answer Questions
The transactions of ABC Company for the first year of operation were as follows:
Production units ……………………………………………………………… 50,000
Sales unit………………………………………………………………………… 50,000
Selling price per unit ………………………………………………………… Rs. 25
Variable cost per unit:
………………………………………………………………………….. Direct material …….. Rs. 6
…………………………………………………………………………….. Direct labour……… Rs. 3
…………………………………………….. Variable manufacturing overheads …….. Rs. 2
…………………………………. Variable selling and distribution overheads …….. Rs. 2
Fixed cost per year:
………………………………………………………….. Manufacturing overheads Rs. 2,00,000
…………………………………………… Office and administrative overheads Rs. 2,00,000
……………………………………………… Selling and distribution overheads Rs. 1,50,000
Required:
- (a) Income statement under variable costing
- (b) Income statement under absorption costing.
Ans: (a) Rs. 50,000 and (b) Rs. 50,000
Solution
(a) Income Statement under Variable Costing
Particulars | Rs. | |
Sales revenue (50,000 ´ 25) | 12,50,000 | |
Less: Variable mfg cost of goods sold : Direct material @ Rs. 6 ´ 50,000 units …………………………. Direct labour @ Rs. 3´ 50,000 units…………………………… Variable mfg. Overhead @ Rs. 2 ´ 50,000 units………………………….. | 3,00,000 1,50,000 1,00,000 | |
Variable mfg cost of production @ Rs. 11 per unit …………………………………………. Add: Opening stock …………………………………………………………………………….. Less: Closing stock ………………………………………………………………………………. | 5,50,000 Nil Nil | |
Variable mfg cost of goods sold | 5,50,000 | |
Gross contribution margin | 7,00,000 | |
Less: Variable non-manufacturing cost: Variable selling and distribution @ Rs. 2 ´ Sales units …………………………….. | 1,00,000 | |
Net contribution margin | 6,00,000 | |
Less: Fixed cost /Period cost: Manufacturing overheads………………………………………………………………… Office and administrative overheads …………………………………………………… Selling and distribution …………………………………………………………………… | 2,00,000 2,00,000 1,50,000 | 5,50,000 |
Net profit before tax …………………………………………………………………………… | 50,000 |
(b) Income Statement Under Absorption Costing
Particulars | Rs. | Rs. |
Sales revenue (50,000 ´ 25)…………………………………………………………… | 12,50,000 | |
Manufacturing cost of goods sold : Direct material @ Rs. 6 ´ 50,000 units ……………………….. Direct labour @ Rs. 3´ 50,000 units…………………………. Variable mfg. Overhead @ Rs. 2 ´ 50,000 units………………………… Fixed mfg overhead @ Rs. 4 ´ 50,000 ……………………………… | 3,00,000 1,50,000 1,00,000 2,00,000 | |
Manufacturing cost of production @ Rs. 15 per unit …………………………………….. Add: Opening stock …………………………………………………………………………… Less: Closing stock …………………………………………………………………………….. | 7,50,000 Nil Nil | |
Manufacturing cost of goods sold …………………………………………………………… | 7,50,000 | |
Gross profit margin ……………………………………………………………………………. | 5,00,000 | |
Less: Non-manufacturing cost: Variable selling and distribution @ Rs. 2 ´ Sales units …………………………… Fixed office and administrative overheads ………………………………………….. Fixed selling and distribution ………………………………………………………….. | 1,00,000 2,00,000 1,50,000 | 4,50,000 |
Net profit before tax …………………………………………………………………………. | 50,000 |
Working notes:
1. If normal capacity is not available in the question,
Then normal capacity = Production units = 50,000 units
2. Manufacturing fixed cost per unit = = = Rs. 4
- Birat Shoe Company produces a single product. The cost characteristics of the product and of the manufacturing plant are given below:
Production units ………………………………………………………………………………………………. | 6,000 |
Sales units …………………………………………………………………………………………………….. | 5,000 |
Variable cost per unit: | |
Direct material…………………………………………………………………………………………… | Rs. 2 |
Direct labour…………………………………………………………………………………………….. | Rs. 4 |
Variable manufacturing overheads………………………………………………………………….. | Re. 1 |
Variable selling and administrative overheads…………………………………………………….. | Rs. 3 |
Fixed cost per year: | |
Manufacturing overheads…………………………………………………………………………….. | 30,000 |
Selling and administrative overheads ………………………………………………………………. | 10,000 |
Selling price per unit……………………………………………………………………………………….. | Rs. 20 |
Required:
- (a) Income statement under variable costing
- (b) Income statement under absorption costing.
Ans: (a) Rs. 10,000 (b) Rs. 15,000
Solution
(a) Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales………………………………………………………………………………………. | 1,00,000 | |
Less: Variable mfg. cost of goods sold: Direct material ………………………………………………… @ Rs. 2 ´ 6,000 units Direct labour cost ……………………………………………. @ Rs. 4 ´ 6,000 units Variable mfg. overhead ……………………………………… @ Rs. 1 ´ 6,000 units…………………………………………………………………………………………….. | 12,000 24,000 6,000 | |
Variable mfg cost of production …………………………………………. @ Rs. 7 per unit …………………………………………………………………………………………….. Add: Opening stock …………………………………………………………………………… Less: Closing stock …………………………………………………. @ Rs. 7 ´ 1,000 units …………………………………………………………………………………………….. | 42,000 – (7,000) | |
Variable Manufacturing cost of goods sold ………………………………………………… | 35,000 | |
Gross contribution margin ……………………………………………………………… Less: Non mfg. variable cost: Selling and administrative overheads @ Rs. 3 ´ 5,000……………………………. | 15,000 | 65,000 15,000 |
Net contribution margin Less: Fixed costs: Mfg. overheads ………………………………………………………………………….. Selling and administrative overheads ……………………………………………….. | 30,000 10,000 | 50,000 40,000 |
Net profit before tax …………………………………………………………………………… | 10,000 |
(b) Income Statement Under Absorption Costing
Particulars | Rs. | Rs. |
Sales………………………………………………………………………………………………………. | 1,00,000 | |
Less: Mfg. cost of goods sold: Direct material @ Rs. 2 ´ 6,000 units…………………………………………. Direct labour cost @ Rs. 4 ´ 6,000 units…………………………………………. Variable mfg. overhead @ Rs. 1 ´ 6,000 units…………………………………………. Fixed mfg. overhead @ Rs. 5 ´ 6,000……………………………………………….. | 12,000 24,000 6,000 30,000 | |
Mfg cost of production @ Rs. 12 per unit …………………………………………….. Add: Opening stock ……………………………………………………………………. Less: Closing stock @ Rs. 12 ´ 1,000 units ………………………………………. | 72,000 – (12,000) | |
Manufacturing cost of goods sold ………………………………………………………………………….. | 60,000 | |
Gross profit margin …………………………………………………………………………………….. Less: Non-mfg. costs: Variable selling and administrative overheads @ Rs. 3 ´ 5,000……………………….. 15,000 Fixed selling and administrative overheads ……………………………………………….. 10,000 | 25,000 | 40,000 25,000 |
Net profit before tax ………………………………………………………………………………………… | 15,000 |
Working notes:
1. Closing stock = Opening stock + Production – Sales = Nil + 6,000 – 5,000 = 1,000 units
2. Manufacturing fixed cost per unit = = = Rs. 5
- A company provides you the following information:
- Normal capacity …………………………………………. 2,00,000 units per year
- Variable manufacturing overhead ……………………………… Rs 20 per unit
- Fixed manufacturing overhead ……………………………………… Rs 3,00,000
- Variable selling expenses …………………………………………… Rs 2 per unit
- Fixed selling expenses …………………………………………………. Rs 1,00,000
- Unit sale price …………………………………………………………………….. Rs 25
- The operating result for the year ending December of the last year were as follows:
- ………………………………………………………………………………………….. Sales ……………………………………………………………………………… 1,50,000 units
- …………………………………………………………………………………. Production 1,80,000 units
Required:
- (a) Income statement under variable costing
- (b) Reconciled profit under absorption costing
Ans: (a) Rs. 50,000 (b) Rs. 95,000
Solution
(a) Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales revenue (Rs. 25 ´ 1,50,000 units)………………………………………………… | 37,50,000 | |
Variable manufacturing cost of goods sold : Standard variable mfg. expenses (Rs. 20 ´ 1,80,000)………………………….. | 36,00,000 | |
Manufacturing cost of production @ Rs. 20 per unit ………………………….. Add: Opening stock (Rs. 20 ´ Nil)………………………………….. Less: Closing stock (Rs. 20 ´ 30,000 units)……………………… | 36,00,000 Nil 6,00,000 | |
Manufacturing cost of goods sold ………………………………………………………….. | 30,00,000 | |
Gross contribution margin……………………………………………………………………. Less: Non-manufacturing variable cost: Variable selling expenses (Rs. 2 ´ Sales units)…………………………. | 3,00,000 | 7,50,000 3,00,000 |
Net contribution margin……………………………………………………………………….. Less: Fixed cost: Manufacturing expenses ……………………………………………………….. 3,00,000 Selling expenses…………………………………………………………………. 1,00,000 | 4,00,000 | 4,50,000 4,00,000 |
Net profit before tax ……………………………………………………………………………. | 50,000 | 50,000 |
b. Calculation of Reconciled Profit under Absorption Costing
Particulars | Rs. |
Net profit as per variable costing……………………………………………………………………………….. Add: Fixed manufacturing cost of closing stock (MFCPU ´ Closing stock units = Rs. 1.50 ´ 30,000) | 50,000 45,000 |
Less: Fixed manufacturing cost of opening stock (MFCPU ´ Closing stock units = Rs. 1.50 ´ Nil)…. | 95,000 0 |
Net profit as per absorption costing……………………………………………………………………….. | 95,000 |
Working notes:
Manufacturing fixed cost per unit = = = Rs. 1.5
Closing stock = Opening stock + Production – Sales
= Nil + 1,80,000 – 1,50,000 = 30,000 units
- A manufacturing company with normal capacity of 50,000 units supplied you with the following particulars for the year ending Chaitra 30, 2074.
Production …………………………………………………………………………………………………….. | 55,000 units |
Sales…………………………………………………………………………………………………………… | 60,000 units |
Closing stock …………………………………………………………………………………………………. | 5,000 units |
Fixed selling and administrative cost………………………………………………………………………. | Rs. 90,000 |
Unit variable manufacturing cost ………………………………………………………………………….. | Rs. 6 |
Unit fixed manufacturing overhead ……………………………………………………………………….. | Rs. 3 |
Unit variable selling and administrative cost……………………………………………………………… | Rs. 2 |
Unit selling price ……………………………………………………………………………………………… | Rs. 15 |
- Required:
- (a) Income statement under internal reporting system
- (b) Reconciliation statement showing the profit of external reporting system
- (c) Give the reasons of difference in net profit, if any.
Ans: a) Rs. 180,000 b) Rs. 165,000
Solution
(a) Income Statement under Internal Reporting System
Particulars | Rs. | Rs. |
Sales revenue (Rs. 15 ´ 60,000 units)………………………………………………. | 9,00,000 | |
Variable manufacturing cost of goods sold : Variable manufacturing cost (Rs. 6 ´ 55,000)………………………….. | 3,30,000 | |
Manufacturing cost of production @ Rs. 6 per unit ……………………….. Add: Opening stock (Rs. 6 ´ 10,000 units)……………………. Less: Closing stock (Rs. 6 ´ 5,000 units)……………………… | 3,30,000 60,000 (30,000) | |
Manufacturing cost of goods sold ……………………………………………………… | 3,60,000 | |
Gross contribution margin………………………………………………………………… Less: Non-manufacturing variable cost: Variable selling and administrative expenses (Rs. 2 ´ Sales units)…………….. | 1,20,000 | 5,40,000 1,20,000 |
Net contribution margin……………………………………………………………………. Less: Fixed cost: Manufacturing overhead ……………………………………………………………… Selling and distribution expenses…………………………………………………….. | 1,50,000* 90,000 | 4,20,000 2,40,000 |
Net profit before tax ………………………………………………………………………… | 1,80,000 |
b. Reconciliation statement showing the profit of External Reporting System
Particulars | Rs. |
Net profit as per variable costing………………………………………………………………………………. Add: Fixed manufacturing cost of closing stock (Rs. 3 ´ 5,000)………………………………………….. | 1,80,000 15,000 |
Less: Fixed manufacturing cost of opening stock (Rs. 3 ´ 10,000)………………………………………. | 1,95,000 30,000 |
Net profit as per absorption costing……………………………………………………………………….. | 1,65,000 |
OR
Here, closing stock 5,000 units is less than opening stock 10,000 units so, absorption costing shows low profit by Rs. (10,000 – 5,000) ´ 3 = Rs. 15,000.
\ Reconcile under absorption costing = 1,80,000 – 15,000 = Rs. 1,65,000
- Following information were supplied by a manufacturing concern for the year ended 30th Chaitra 2070:
- Normal capacity………………………………………………………. 10,000 units
- Production ……………………………………………………………….. 9,000 units
- Sales……………………………………………………………………….. 10,000 units
- Opening inventory ……………………………………………………. 2,000 units
- Prime cost per unit …………………………………………………………… Rs. 17
- Variable production overheads per unit……………………………….. Rs. 5
- Variable selling and administrative OH per unit…………………… Rs. 3
- Selling price per unit ………………………………………………………… Rs. 40
- Periodic fixed cost:
- ………………………………………………………………… Production overheads Rs. 30,000
- ……………………………………………………………………….. Office overheads Rs. 20,000
- …………………………………………………………………… Marketing expenses Rs. 10,000
- Required:
- (a) Income statement under variable costing
- (b) Reconciled profit under absorption costing
Ans: (a) Rs. 90,000 (b) Rs. 87,000
Solution
Given:
1. Normal capacity = 10,000 units
2. Closing stock = Opening stock + Production – Sales = 2,000 + 9,000 – 10,000 = 1,000 units
3. Manufacturing fixed cost per units (MFCPU) = = = Rs. 3
a. Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales @ Rs. 40 each ……………………………………………………………………………. | 4,00,000 | |
Less: Variable manufacturing cost of goods sold: Prime cost @ Rs. 17 each ´ 9,000 units ……………………………………………… Variable manufacturing overheads @ Rs. 5 each ´ 9,000 units ………………….. | 1,53,000 45,000 | |
Variable manufacturing cost of production @ Rs. 22 each ……………………………….. Add: Opening stock @ Rs. 22 each ´ 2,000 units …………………………………………. Less: Closing stock @ Rs. 22 each ´ 1,000 units………………………………………….. | 1,98,000 44,000 (22,000) | |
Variable manufacturing cost of goods sold ………………………………………………….. | 2,20,000 | |
Gross contribution margin ……………………………………………………………………… Less: Non-manufacturing variable cost: Variable selling and administrative overheads @ Rs. 3 each ´ 10,000 units ……. | 30,000 | 1,80,000 30,000 |
Net contribution margin …………………………………………………………………………. Less: Fixed cost: Manufacturing overheads………………………………………………………………… Office overheads ………………………………………………………………………….. Marketing expenses ………………………………………………………………………. | 30,000 20,000 10,000 | 1,50,000 60,000 |
Net profit …………………………………………………………………………………………. | 90,000 |
b. Calculation of Reconciled Profit as per Absorption Costing
Particulars | Rs. |
Net profit as per variable costing…………………………………………………………………………………. Add: Fixed manufacturing cost of closing stock (3 ´ 1,000)…………………………………………………. | 90,000 3,000 |
Less: Fixed manufacturing cost of opening stock (3 ´ 1,000)………………………………………………… | 93,000 6,000 |
Net profit as per absorption costing……………………………………………………………………………… | 87,000 |
- A manufacturing company furnishes you the following information:
- Normal capacity ………………………………………………………… 12,000 units
- Production ……………………………………………………………….. 10,000 units
- Sales ………………………………………………………………………… 10,000 units
- Ending inventory ………………………………………………………… 2,000 units
- Other information:
- Fixed selling and administrative cost…………………………………. Rs. 8,000
- Fixed factory overhead cost per unit ………………………………………. Rs. 3
- Standard variable cost per unit ………………………………………………. Rs. 5
- Selling price per unit ………………………………………………………….. Rs. 15
Required:
- (a) Income statement under absorption costing
- (b) Profit under variable costing
Ans: (a) Rs. 56,000 (b) Rs. 56,000
Solution
(a) Income Statement under Absorption Costing
Particulars | Rs. | Rs. |
Sales revenue (10,000 units @ Rs. 15) (a)…………………………………………. | 150,000 | |
Manufacturing cost of goods sold : Standard variable cost @ Rs. 5………………………………………………………… Fixed factory overhead @ Rs. 3………………………………………………………………………………………………. | 50,000 30,000 | |
Add: Beginning inventory (Rs. 8 × 2,000)………………………………………………………………………………………………. | 80,000 16,000 | |
Less: Ending inventory (Rs. 8 × 2,000)……………………………………………….. | 96,000 16,000 | |
Add: Under absorption of fixed factory overhead …………………………………… [(12,000 units @ Rs. 3) – 30,000]……………………………………………………… | 80,000 6,000 | 86,000 |
Gross contribution margin …………………………………………………………………. | 64,000 | |
Less: Non-manufacturing cost: Fixed selling and administrative cost ………………………………………………………………………………………………. | 8,000 | |
Net income ……………………………………………………………………………………… | 56,000 |
b. Reconciled Profit under Variable Costing
Particulars | Rs. |
Net profit as per absorption costing……………………………………………………………………………. Add: Fixed factory overhead of beginning inventory (2,000 units × Rs. 3) ……………………………… | 56,000 6,000 |
Less: Fixed factory overhead of beginning inventory (2,000 units × Rs. 3)……………………………… | 62,000 6,000 |
Net profit as per variable costing……………………………………………………………………………. | 56,000 |
- The cost abstract of an undertaking was as follows:
Particulars | Cost in Rs. |
Direct material ……………………………………………………………………………………. | Rs. 10,80,000 |
Direct labour ……………………………………………………………………………………… | 270,000 |
Variable manufacturing cost …………………………………………………………………… | 180,000 |
Variable selling and distribution expenses …………………………………………………… | 80,000 |
- Budgeted normal output was 1,00,000 units with Rs. 2,00,000 fixed manufacturing overhead. The fixed selling and distribution expenses were Rs. 50,000.
- The operations of the year ended Dec. of the last year were:
- Opening stock …………………………………………………………… 10,000 units
- Production ……………………………………………………………….. 90,000 units
- Sales ………………………………………………………………………… 80,000 units
- Sales price per unit ……………………………………………………… Rs. 30 units
- Required: (a) Income statement under absorption costing. (b) Reconciled profit under variable costing.
Ans: a) Rs. 730,000 b) Rs. 710,000
Solution
(a) Income Statement under Absorption Costing
Particulars | Rs. | Rs. |
Sales revenue (Rs. 30 ´ 80,000 units ) (a)…………………………………………. | 24,00,000 | |
Manufacturing cost of goods sold : Direct material (Rs. 12 ´ 90,000 units)……………………. Direct labour (Rs. 3 ´ 90,000 units)……………………… Variable factory overhead (Rs. 2 ´ 90,000 units)……………………… Fixed manufacturing overhead (Rs. 2 ´ 90,000 units)……………………… | 10,80,000 2,70,000 1,80,000 1,80,000 | |
Manufacturing cost of production @ Rs. 19 per unit ………………………… Add: Opening stock (Rs. 19 ´ 10,000)…………………………… Less: Closing stock (Rs. 19 ´ 20,000)…………………………… Add: Under absorption of manufacturing fixed cost ………………………………………. | 17,10,000 1,90,000 (3,80,000) 20,000 | |
Manufacturing cost of goods sold (b)……………………………………………………. | 15,40,000 | |
Gross profit margin (a – b = c)……………………………………………………………… | 8,60,000 | |
Less: Non-manufacturing cost: Variable selling and distribution expenses (Rs. 1 ´ 80,000)……………………….. Fixed selling and distribution expenses ………………………………… | 80,000 50,000 | 1,30,000 |
Net profit before tax ………………………………………………………………………….. | 7,30,000 |
b. Calculation of Reconciled Profit under Variable Costing
Particulars | Rs. |
Net profit as per absorption costing……………………………………………………………………………. Add: Fixed manufacturing cost of opening stock (MFCPU ´ Opening stock units = Rs. 2 ´ 10,000).. | 7,30,000 20,000 |
Less: Fixed manufacturing cost of closing stock (MFCPU ´ Closing stock units = Rs. 2 ´ 20,000)…. | 7,50,000 40,000 |
Net profit as per variable costing……………………………………………………………………………. | 7,10,000 |
Working notes:
Fixed manufacturing cost per unit = = Rs. 2
Closing stock = Opening stock + Production – Sales = 10,000 + 90,000 – 80,000 = 20,000 units
- The data relating to income statement of a company have been provided below:
- Normal capacity………………………………………………………. 25,000 units
- Production ……………………………………………………………… 27,000 units
- Sales ………………………………………………………………………. 28,000 units
- Closing inventory ……………………………………………………… 2,000 units
- Other information:
- ………………………………………………………………….. Selling price per unit……. Rs. 30
- …………………………………………………………………….. Prime cost per unit………… 13
- ……………………………………………… Variable works overheads per unit…………… 5
- ……………………………… Variable office and selling overheads per unit…………… 3
- ………………………………………………………………. Fixed works overheads… 1,00,000
- ………………………………………………. Fixed office and selling overheads ….. 50,000
Required:
- (a) Income statement under absorption costing
- (b) Reconcile profit under variable costing (Don’t waste your time in preparing variable costing)
Ans: (a) Net profit as per AC = Rs. 98,000 (b) Net profit as per VC = Rs. 1,02,000
Solution
a. Income Statement Under Absorption Costing
Particulars | Rs. | Rs. |
Sales @ Rs. 30 each…………………………………………………………………………….. | 8,40,000 | |
Less: Manufacturing cost of goods sold Prime cost @ Rs. 13 per unit ´ 27,000 units …………………………………………. Variable work overhead @ Rs. 5 per unit ´ 27,000 units……………………………. Fixed work overhead @ Rs. 4 per unit´ 27,000 units……………………………….. | 3,51,000 1,35,000 1,08,000 | |
Manufacturing cost of production @ Rs. 22 per unit……………………………………….. Add: Opening stock @ Rs. 22 per unit ´ 3,000 units……………………………………….. Less: Closing stock @ Rs. 22 per unit ´ 2,000 units………………………………………. Less: Over absorption of fixed work overhead……………………………………………… | 5,94,000 66,000 (44,000) (8,000) | |
Manufacturing cost of goods sold……………………………………………………………… | 6,08,000 | |
Gross profit margin ……………………………………………………………………………… Less: Non-manufacturing cost: Variable office and selling overheads @ Rs. 3 per unit ´ 28,000 units …………… Fixed office and selling overheads …………………………………………………….. | 84,000 50,000 | 2,32,000 1,34,000 |
Net profit………………………………………………………………………………………….. | 98,000 |
b. Calculation of Reconciled Profit as per Variable Costing
Particulars | Rs. |
Net profit as per absorption costing………………………………………………………………………………. Add: Fixed manufacturing cost of opening stock (4 ´ 3,000)………………………………………………… | 98,000 12,000 |
Less: Fixed manufacturing cost of closing stock (4 ´ 2,000)………………………………………………….. | 1,10,000 8,000 |
Net profit as per variable costing………………………………………………………………………………….. | 1,02,000 |
Working notes:
1. Opening stock = Closing stock + Sales – Production = 2,000 + 28,000 – 27,000 = 3,000 units
2. Fixed work overhead per unit = = Rs. 4
- A company manufacturing 40,000 units supplied you the following information for the year ending Chaitra 30, 2072.
Opening stock Sales | 20,000 units 50,000 units |
Over absorption of fixed manufacturing cost (@ Rs. 2 per unit ) Fixed selling expenses Direct material cost per unit Direct labour cost per unit Variable manufacturing cost per unit Variable selling expenses per unit Selling price per unit | Rs. 20,000 Rs. 40,000 Rs. 10 Rs. 6 Rs. 6 Rs. 2 Rs. 30 |
Required:
- a. Income statement under absorption costing.
- b. Explain briefly the reasons for difference in profit under absorption costing and variable costing method.
Ans: (a) Rs. 180,000
Solution
- a. Income Statement under Absorption Costing
Particulars | Amount (Rs.) | Amount (Rs.) |
Sales revenue 50,000@ Rs. 30Less: Cost of goods sold: Direct material 40,000 @ Rs. 10 Direct labour 40,000 @ Rs. 6 Variable manufacturing overhead @ Rs. 6 Fixed manufacturing cost @ Rs. 2 | 400,000240,000240,00080,000 | 15,00,000 |
Total manufacturing cost @ Rs. 24Add: Beginning inventory 20,000@ Rs. 24Less: Ending inventory 10,000 @ Rs. 24 | 960,000480,000(240,000) | |
Cost of goods sold unadjusted Less: Over absorption of fixed cost | 12,00,00020,000 | |
Cost of goods sold adjusted | (11,80,000) | |
Gross profit Less: Non-manufacturing cost: Fixed selling cost Variable selling expenses 50,000@ Rs. 2 | 40,000100,000 | 320,000 (140,000)) |
Net income | 180,000 |
- b. Generally, the net profit reported by absorption and variable costing method is found different. The main reason for difference between variable and absorption costing profit is the difference in valuation of inventory under these two methods.
- A company had the following relevant information:
- Direct material per unit Rs. 6………………………………. Direct labour per unit Rs. 5
- Variable manufacturing cost per unit Rs. 4………………. Variable selling expense per unit Rs. 2
- Selling price per unit Rs. 30………………… Fixed manufacturing overhead Rs. 120,000
- Fixed selling expenses Rs. 80,000……………………………………… Normal capacity 30,000 units
Year 1 | Year 2 | |
Production units…………………………………………………………………………….. Sales units…………………………………………………………………………………… | 30,000 26,000 | 28,000 30,000 |
- Required:
- (a) Income Statement under absorption costing system for year 2
- (b) Profit from variable costing system
- (c) Give the reasons of difference in net profit, if any.
Ans: (a) Rs. 182,000 (b) Rs. 190,000
Solution
(a) Income Statement under Absorption Costing for Year 2
Particulars | Rs. | Rs. |
Sales revenue…………………………………………………………………………….. | 900,000 | |
Less: Manufacturing cost of goods sold : Direct materials @ Rs. 6………………………………………………………………… Direct labour @ Rs. 5……………………………………………………………………. Variable manufacturing cost @ Rs. 4…………………………………………………. Fixed manufacturing overhead @ Rs. 4………………………………………………. | 168,000 140,000 112,000 112,000 | |
Manufacturing cost of production @ Rs. 19 per unit ……………………………….. Add: Opening stock @ Rs. 19 | 532,000 76,000 | |
Less: Closing stock @ Rs. 19 | 608,000 38,000 | |
Add: Under absorption of fixed manufacturing overhead (120,000 – 112,000) | 570,000 8,000 | 578,000 |
Gross profit margin ………………………………………………………………………. | 322,000 | |
Less: Non-manufacturing cost: Variable selling expenses ………………………………………………………………. Fixed selling expenses | 60,000 80,000 | 140,000 |
Net income ……………………………………………………………………………………… | 182,000 |
(b) Profit from Variable Costing System for Year 2
Particulars | Rs. |
Net income as per absorption costing system …………………………………………………………… Add: Fixed manufacturing overhead of opening stock (4,000 units @ Rs. 4)……………………………… | 182,000 16,000 |
Less: Fixed manufacturing overhead of closing stock (2,000 units @ Rs. 4)……………………………… | 198,000 8,000 |
Net income as per variable costing system ………………………………………………………………… | 190,000 |
Working notes:
Particulars | Year 1 | Year 2 |
Opening stock in units …………………………………………………………………………. Add: Production units ………………………………………………………………………….. | – 30,000 | 4,000 28,000 |
Available units …………………………………………………………………………………… Less: Sales units ……………………………………………………………………………….. | 30,000 26,000 | 32,000 30,000 |
Closing stock in units ……………………………………………………………………….. | 4,000 | 2,000 |
- A manufacturing company had the following relevant information:
- ………………………………………………………………………….. Direct material …….. Rs. 6
- …………………………………………………………………………….. Direct labour……… Rs. 6
- ………………………………………….. Variable manufacturing cost per unit……… Rs. 5
- ………………………………………………………………….. Selling price per unit …… Rs. 30
- ………………………………………. Fixed manufacturing overhead per unit……… Rs. 5
- ………………………………………………………………… Fixed selling expenses Rs 72,000
- ……………………………………………………………. Variable selling expenses 6% of sales
- ………………………………………………………………………… Normal capacity 30,000 units
Year 1 | Year 2 | |
Production units …………………………………………………………….. Sales units …………………………………………………………………… | 25,000 23,000 | 25,000 26,000 |
Required:
- (a) Income statement under variable costing system for year 2
- (b) Profit from absorption costing system without preparing income statement.
Ans: (a) Rs. 69,200 (b) Rs. 64,200
Solution
Working notes:
Year 1 | Year 2 | |
Opening stock ……………………………………………………………………………………. Add: Production ………………………………………………………………………………….. | – 25,000 | 2,000 25,000 |
Available units…………………………………………………………………………………….. Less: Sales ……………………………………………………………………………………….. | 25,000 23,000 | 27,000 26,000 |
Closing stock …………………………………………………………………………………… | 2,000 | 1,000 |
a. Income Statement Under Absorption Costing
Particulars | Rs. | Rs. |
Sales revenue (26,000 @ Rs. 30)……………………………………………………………… | 780,000 | |
Less: Variable cost of goods sold: Direct materials (25,000 @ Rs. 6)………………………………………………………. Direct labour (25,000 @ Rs. 6)………………………………………………………….. Variable manufacturing cost (25,000 @ Rs. 6)……………………………………….. | 150,000 150,000 125,000 | |
Add: Opening stock (2,000 @ Rs. 17)…………………………………………………. | 425,000 34,000 | |
Less: Closing stock (1,000 @ Rs. 17)………………………………………………….. | 459,000 17,000 | 442,000 |
Gross contribution margin ……………………………………………………………………… Less: Variable selling expenses ………………………………………………………………. | 338,000 46,800 | |
Net contribution margin………………………………………………………………………….. Less: Periodic/Fixed cost Fixed manufacturing cost (Normal capacity 30,000 @ Rs. 5)………………………. Fixed selling expenses …………………………………………………………………… | 291,200 150,000 72,000 | |
Net income ………………………………………………………………………………………. | 69,200 |
(b) Reconciled Profit under Absorption Costing
Particulars | Rs. |
Net profit as per variable costing …………………………………………………………………………………. Add: Fixed manufacturing cost of closing stock (1,000 units @ Rs. 5)……………………………………… | 69,200 5,000 |
Less: Fixed manufacturing cost of opening stock (2,000 units @ Rs. 5)…………………………………… | 74,200 10,000 |
Net profit as per absorption costing …………………………………………………………………………. | 64,200 |
- A company provides you the following information relating to two months:
Baishak | Jestha | |
Sales (units)………………………………………………………………………. Production (units) ……………………………………………………………….. | 4,000 8,000 | 6,000 2,000 |
Sales price per unit ……………………………………………………………… Direct manufacturing cost per unit ……………………………………………. Fixed factory overhead per unit ……………………………………………….. Fixed factory overhead (Total)…………………………………………………. Selling and administrative expenses …………………………………………. | Rs. 20 Rs. 10 Rs. 3 Rs. 24,000 Rs. 8,000 |
Required:
- (a) Income statement under marginal costing
- (b) Income statement under absorption costing
Ans: (a) Rs. 8,000; Rs. 28,000 (b) Rs. 20,000 ; Rs. 16,000
solution
- Income Statement under Marginal Costing
Particulars | Baishakh (Rs.) | Jestha (Rs.) |
Sales revenue @ Rs. 20 | 80,000 | 120,000 |
Less: Variable manufacturing cost of goods sold: Direct manufacturing cost @ Rs. 10……………………………………………………. Add: Opening stock @ Rs. 10…………………………………………………………… Less: Closing stock @ Rs. 10……………………………………………………………. | 80,000 – 40,000 | 20,000 40,000 |
Total variable manufacturing cost of goods sold ……………………………………………. | 40,000 | 60,000 |
Net contribution margin …………………………………………………………………………. | 40,000 | 60,000 |
Less: Fixed cost: Factory overhead …………………………………………………………………………. Selling and administrative expenses …………………………………………………… | 24,000 8,000 | 24,000 8,000 |
Total fixed cost ……………………………………………………………………………. | 32,000 | 32,000 |
Net profit …………………………………………………………………………………………. | 8,000 | 28,000 |
- Income Statement under Absorption Costing
Particulars | Baishakh (Rs.) | Jestha (Rs.) |
Sales revenue @ Rs. 20 | 80,000 | 120,000 |
Less: Manufacturing cost of goods sold: Direct manufacturing cost @ Rs. 10……………………………………………………. Fixed factory overhead @ Rs. 3………………………………………………………… Add: Opening stock @ Rs. 13…………………………………………………………… Less: Closing stock @ Rs. 13……………………………………………………………. | 80,000 24,000 – (52,000) | 20,000 6,000 52,000 – |
Total manufacturing cost of goods sold | 52,000 | 78,000 |
Gross profit before adjustment ………………………………………………………………… Less: Under absorption of fixed factory overhead ………………………………………….. | 28,000 – | 42,000 18,000 |
Gross profit after adjustment …………………………………………………………………… | 28,000 | 24,000 |
Less: Non-manufacturing cost: Selling and administrative expenses | 8,000 | 8,000 |
Net income ………………………………………………………………………………………. | 20,000 | 16,000 |
- Rara Manufacturing Company furnishes the following information:
Particulars | Baishakh | Jestha |
Sales (units)……………………………………………………………………….. | 20,000 | 20,000 |
Production (units)………………………………………………………………… | 23,000 | 27,000 |
Normal capacity (unit)……………………………………………………………. | 25,000 | 25,000 |
Variable overheads per unit …………………………………………………….. | Rs.12 | Rs.15 |
Fixed selling overheads …………………………………………………………. | Rs.1,00,000 | Rs.1,20,000 |
Fixed overheads …………………………………………………………………. ) | Rs.1,00,000 | Rs.1,25,000 |
Selling price per unit …………………………………………………………….. ) | Rs.25 | Rs.30 |
- Required:
- (a) Income statement under direct and traditional costing
- (b) Reconciliation statement between two methods
Ans: (a) Net profit Under AC: Rs. 72,000 and Rs. 1,02,000;
Under VC = Rs. 60,000 and Rs. 64,000 (b) Rs. 12,000 and Rs. 38,000
solution
(a) Income Statement under Absorption Costing
Particulars | Baishakh | Jestha | ||
@ | Rs. | @ | Rs. | |
Sales revenue ………………………………………………………………….. | 25 | 5,00,000 | 30 | 6,00,000 |
Manufacturing cost of goods sold : Variable overheads ……………………………………………………………. Fixed overheads ……………………………………………………………….. | 12 4 | 2,76,000 92,000 | 15 5 | 4,05,000 1,35,000 |
Mfg cost of production ……………………………………………………………….. Add: Opening stock………………………………………………………………….. Less: Closing stock……………………………………………………………………. Add: Under absorption of mfg. fixed cost…………………………………………. Less: Over absorption of mfg. fixed cost………………………………………….. | 16 | 3,68,000 Nil (48,000) 8,000 – | 20 | 5,40,000 48,000 (2,00,000) – (10,000) |
Manufacturing cost of goods sold y ……………………………………………….. | 3,28,000 | 3,78,000 | ||
Gross profit margin (x-Y)…………………………………………………………….. Less: Non-mfg. cost: Fixed selling overheads……………………………………………………….. | 1,72,000 1,00,000 | 2,22,000 1,20,000 | ||
Net profit before tax…………………………………………………………………. | 72,000 | 1,02,000 |
Income Statement under Variable Costing
Particulars | Baishakh | Jestha | ||
@ | Rs. | @ | Rs. | |
Sales revenue ………………………………………………………………. | 25 | 5,00,000 | 30 | 6,00,000 |
Variable manufacturing cost of goods sold : Variable overheads ………………………………………………………… | 12 | 2,76,000 | 15 | 4,05,000 |
Variable Mfg cost of production ………………………………………………… Add: Opening stock………………………………………………………………. Less: Closing stock………………………………………………………………… | 12 | 2,76,000 Nil (36,000) | 15 | 4,05,000 36,000 (1,50,000) |
Variable manufacturing cost of goods sold y………………………………….. | 2,40,000 | 2,91,000 | ||
Net contribution margin (x-Y)……………………………………………………. Less: Fixed cost: Fixed overheads ……………………………………………………………. Fixed selling overheads……………………………………………………. | 2,60,000 1,00,000 1,00,000 | 3,09,000 1,25,000 1,20,000 | ||
Net profit before tax…………………………………………………………….. | 60,000 | 64,000 |
(b) Reconciliation Statement
Particulars | Baishakh (Rs.) | Jestha (Rs.) |
Net income under absorption costing…………………………………………………………. Net income under variable costing…………………………………………………………….. | 72,000 60,000 | 1,02,000 64,000 |
Difference in net income……………………………………………………………………….. . | 12,000 | 38,000 |
Difference in value of closing stock …………………………………………………………… Less: Difference in value of opening stock ………………………………………………….. | 12,000 – | 50,000 12,000 |
Difference in inventory value ……………………………………………………………….. | 12,000 | 38,000 |
- Working notes:
- 1. Changes in inventory:
Particulars | Baishakh (Rs.) | Jestha (Rs.) |
Opening stock ……………………………………………………………………………… Add: Production………………………………………………………………………………….. | Nil 23,000 | 3,000 27,000 |
Goods available …………………………………………………………………………… Less: Sales……………………………………………………………………………………….. | 23,000 20,000 | 30,000 20,000 |
Closing stock …………………………………………………………………………….. | 3,000 | 10,000 |
- 2.
Particulars | Baishakh | Jestha |
Total manufacturing fixed cost …………………………………………………………………. | 1,00,000 | 1,25,000 |
Manufacturing fixed cost per unit ……………………………………………………………… | 4 | 5 |
- The Alpha manufacturing company produced 80,000 units of a new product during 2070 and sold 60,000 units at Rs. 25 per unit. Costs and other related information were as follows:
Fixed costs | Variable costs | |
Direct material…………………………………………………………………………….. Direct labour………………………………………………………………………………. Manufacturing overheads……………………………………………………………….. Selling and administrative expenses………………………………………………….. | — — 2,70,000 1,80,000 | 4,80,000 4,00,000 1,60,000 1,20,000 |
- There was no ending work-in-process inventory
- Normal capacity per annum 90,000 units
Required:
- Comparative income statements for the year 2070 using
- (a) Traditional costing
- (b) Marginal costing
- (c) Reconciliation statement
Ans: (a) Rs. 2,10,000 and (b) Rs. 1,50,000 (c) Rs. 60,000
Solution
a. Alpha Manufacturing Company
Income Statement under Absorption Costing for the year ending 2064
Particulars | Rs. | Rs. |
Sales revenue @ Rs. 25 × 60,000 units……………………………………………… | 15,00,000 | |
Less: Manufacturing cost of goods sold : Direct material ……………………………………………… @ Rs. 6 × 80,000 units Direct labour ………………………………………………… @ Rs. 5 × 80,000 units Variable manufacturing overheads ……………………… @ Rs. 2 × 80,000 units Fixed manufacturing overheads …………………………. @ Rs. 3 × 80,000 units | 4,80,000 4,00,000 1,60,000 2,40,000 | |
Mfg cost of production ………………………………………………….. @ Rs. 16 per unit Add: Opening stock ………………………………………………………………………….. Less: Closing stock ……………………………………………… @ Rs. 16 ´ 20,000 units Add: Under absorption of fixed manufacturing cost | 12,80,000 – (3,20,000) 30,000 | |
Manufacturing cost of goods sold ………………………………………………………….. | 9,90,000 | |
Gross profit margin …………………………………………………………………….. Less: Non-manufacturing costs: Variable selling and administrative overheads @ Rs. 2 ´ 60,000……. 1,20,000 Fixed selling and administrative overheads …………………………….. 1,80,000 | 3,00,000 | 5,10,000 3,00,000 |
Net profit before tax …………………………………………………………………………. | 2,10,000 |
Alpha Manufacturing Company
Income Statement under Variable Costing for the year ending 2064
Particulars | Rs. | Rs. |
Sales revenue @ Rs. 25 × 60,000 units……………………………………………… | 15,00,000 | |
Less: Variable manufacturing cost of goods sold : Direct material @ Rs. 6 × 80,000 units………………… Direct labour @ Rs. 5 × 80,000 units………………… Variable manufacturing overheads @ Rs. 2 × 80,000 units………………… | 4,80,000 4,00,000 1,60,000 | |
Mfg cost of production @ Rs. 13 per unit ………………………. Add: Opening stock …………………………………………………………………………… Less: Closing stock @ Rs. 13 ´ 20,000 units ………………. | 10,40,000 – (2,60,000) | |
Variable manufacturing cost of goods sold ………………………………………………… | 7,80,000 | |
Gross contribution margin ……………………………………………………………… Less: Non-mfg. variable costs: Variable selling and administrative overheads @ Rs. 2 ´ 60,000………………… | 1,20,000 | 7,20,000 1,20,000 |
Net contribution margin …………………………………………………………………. Less: Fixed cost………………………………………………………………………………… Mfg. overheads ………………………………………………………………………….. Selling and administrative overheads ………………………………………………… | 2,70,000 1,80,000 | 6,00,000 4,50,000 |
Net profit before tax ………………………………………………………………………….. | 1,50,000 | 1,50,000 |
(b) Reconciliation Statement
Particulars | Rs. |
Net income under absorption costing………………………………………………………………………….. Net income under variable costing…………………………………………………………………………….. | 2,10,000 1,50,000 |
Difference in net income………………………………………………………………………………………. | 60,000 |
Ending inventory in units………………………………………………………………………………………… Beginning inventory in units…………………………………………………………………………………….. | 20,000 – |
Difference in inventory (a)……………………………………………………………………………………….. | 20,000 |
Manufacturing fixed cost per unit (b)…………………………………………………………………………… | 3 |
Difference in inventory value (a × b)……………………………………………………………………….. | 60,000 |
Working notes:
Closing stock = Opening stock + Production – Sales = Nil + 80,000 units – 60,000 units = 20,000 units
Direct material cost per unit = = Rs. 6
Direct labour cost per unit = = Rs. 5
Variable manufacturing overheads per unit = = Rs. 2
Variable selling and administrative expenses per unit = = Rs. 2
Standard fixed manufacturing overhead rate (SFOR) = = = Rs. 3
- A company uses direct costing for internal control purposes and absorption costing for external reporting purposes. The following differences are located while comparing the two statements:
Items | Variable Costing | Absorption Costing |
Variable manufacturing cost for 6000 units ……………………………….. | Rs. 60,000 | Rs. 60,000 |
Fixed manufacturing overhead charged ……………………………………. | 25,000 | 30,000 |
Fixed selling and administrative cost ……………………………………….. | 40,000 | 40,000 |
Variable selling cost per unit …………………………………………………. | 2 | 2 |
Selling price per unit …………………………………………………………… | 30 | 30 |
- Management also projected the following data for the inventory:
Beginning inventory units ………………………………………………………………………………… | 1000 |
Production units …………………………………………………………………………………………… | 6,000 |
Goods available …………………………………………………………………………………………… | 7,000 |
Sales units …………………………………………………………………………………………………. | 5000 |
Closing stock units ………………………………………………………………………………………… | 2000 |
- Cost of beginning inventory is the same as the cost of production in the period.
Required:
- Income statement by using absorption costing and variable costing approach.
Ans: Rs. 30,000 and Rs. 25,000
Solution
Income Statement under Absorption Costing
Particulars | Rs. | Rs. |
Sales revenue (Rs 30 ´ 5,000)……………………………………………………. | 1,50,000 | |
Manufacturing cost of goods sold : Variable manufacturing cost (Rs. 10 ´ 6,000 units) ……………….. Fixed manufacturing overhead (Rs. 5 ´ 6,000 units)………………….. | 60,000 30,000 | |
Manufacturing cost of production @ Rs. 15 per unit …………………… Add: Opening stock (Rs. 15 ´ 1,000)………………………. Less: Closing stock (Rs. 15 ´ 2,000)………………………. Less: Over absorption of manufacturing fixed cost (30,000 – 25,000)……………. | 90,000 15,000 (30,000) (5,000) | |
Manufacturing cost of goods sold ………………………………………………….. | 70,000 | |
Gross profit margin ……………………………………………………………………… | 80,000 | |
Less: Non-manufacturing cost: Variable selling overheads (Rs. 2 ´ Sales units)………………….. Fixed selling and administrative overhead………………………………………. | 10,000 40,000 | 50,000 |
Net profit before tax …………………………………………………………………….. | 30,000 | 30,000 |
Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales revenue (Rs. 30 ´ 5,000 units)……………………………………………….. | 1,50,000 | |
Variable manufacturing cost of goods sold : Variable manufacturing cost (Rs. 10 ´ 6,000 units) ………………….. | 60,000 | |
Manufacturing cost of production @ Rs. 10 per unit ……………………… Add: Opening stock (Rs. 10 ´ 1,000)………………………….. Less: Closing stock (Rs. 10 ´ 2,000 units)…………………… | 60,000 10,000 (20,000) | |
Manufacturing cost of goods sold ……………………………………………………… | 50,000 | |
Gross contribution margin………………………………………………………………… Less: Non-manufacturing variable cost: Variable selling expenses (Rs. 2 ´ Sales units)…………………….. | 1,00,000 10,000 | |
Net contribution margin……………………………………………………………………. Less: Fixed cost: Manufacturing expenses ……………………………………………………………… Selling and administrative expenses………………………………………………… | 25,000 40,000 | 90,000 65,000 |
Net profit before tax ………………………………………………………………………… | 25,000 |
- Kathmandu Manufacturing Company provides you the following information:
- Selling price per unit Rs. 42
- Direct material cost Rs. 8 per unit
- Direct labour cost Rs. 5 per unit
- Direct expenses Rs. 2 per unit
- Fixed factory overheads (Normal)…………………………………………………………………. Rs. 4,40,000
- Fixed office and selling overheads ……………………………………………………………….. Rs. 2,50,000
- Variable factory overheads …………………………………………………………….. Rs. 3 per unit
- Production 50,000 units
- Closing stock 8,000 units
- Opening stock 3,000 units
- Value of opening stock:
- Under variable costing ……………………………………………………………………………. Rs. 23 per unit
- Under absorption costing ……………………………………………………………………………. Rs. 30 per unit
- Under absorption of fixed factory overheads……………………………………………………….. Rs. 40,000
Required:
- (a) Income statement under direct costing
- (b) Income statement under full costing
- (c) Reconciliation statement
Ans: (a) VC = Rs. 3,75,000 (b) AC = Rs. 4,18,000 (c) difference in stock valuation Rs. 43,000
Solution
Given:
Sales = Opening stock + Production – Closing stock = 3,000 + 50,000 – 8,000 = 45,000 units
Total standard manufacturing fixed cost = Rs. 4,40,000
Total manufacturing fixed cost = 4,40,000 – 40,000 = Rs. 4,00,000
(a) Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales @ Rs. 42 each ´ 45,000 units ………………………………………………………….. | 18,90,000 | |
Variable manufacturing cost of goods sold Direct material cost: @ Rs. 8 each ´ 50,000 units ……………………… Direct labour cost @ Rs. 5 each ´ 50,000 units………………………. Direct expenses: @ Rs. 2 each ´ 50,000 units………………………. Variable factory overheads: @ Rs. 3 each ´ 50,000…………………………….. | 4,00,000 2,50,000 1,00,000 1,50,000 | |
Variable manufacturing cost of production @ Rs. 18 each ………………………………… Add: Opening stock: @ Rs. 23 each ´ 3,000………………………………………………… Less: Closing stock: @ Rs. 18 each ´ 8,000………………………………………………… | 9,00,000 69,000 (1,44,000) | |
Variable manufacturing cost of goods sold …………………………………………………… | 8,25,000 | |
Contribution margin ………………………………………………………………………………. Less: Fixed cost / Periodic cost: Factory overheads ………………………………………………………………………… Office and selling overheads …………………………………………………………….. | 4,40,000 2,50,000 | 10,65,000 6,90,000 |
Net profit before tax ……………………………………………………………………………. | 3,75,000 |
(b) Income Statement Under Absorption Costing
Particulars | Rs. | Rs. |
Sales @ Rs. 42 each……………………………………………………………………………….. | 18,90,000 | |
Less: Manufacturing cost of goods sold : Direct material cost: @ Rs. 8 ´ 50,000 units …………………………. Direct labour cost: @ Rs. 5 ´ 50,000 units………………………….. Direct expenses: @ Rs. 2 ´ 50,000 units …………………………. Variable factory overheads: @ Rs. 3 each ´ 50,000 units …………………… Fixed factory overheads: @ Rs. 8 each ´ 50,000 units …………………… | 4,00,000 2,50,000 1,00,000 1,50,000 4,00,000 | |
Manufacturing cost of production @ Rs. 26 each …………………………………… Add: Opening stock: @ Rs. 30 ´ 3,000…………………………………. Less: Closing stock: @ Rs. 26 ´ 8,000…………………………………. Add: Under absorption of manufacturing fixed cost …………………………………………… | 13,00,000 90,000 (2,08,000) 40,000 | |
Manufacturing cost of goods sold………………………………………………………………… | 12,22,000 | |
Gross profit margin ………………………………………………………………………………… Less: Non-manufacturing cost: Fixed office and administrative overheads ………………………………………………. | 2,50,000 | 6,68,000 2,50,000 |
Net profit before tax ……………………………………………………………………………… | 4,18,000 |
(c) Reconciliation Statement
Particulars | Rs. |
Net profit as per absorption costing……………………………………………………………………….. Less: Net profit as per variable costing …………………………………………………………………………. | 4,18,000 3,75,000 |
Difference in net profit …………………………………………………………………………………………… | 43,000 |
Difference in value of closing stock = (2,08,000 – 1,44,000)………………………………………………… Less: Difference in value of opening stock (90,000 – 69,000)……………………………………………….. | 64,000 21,000 |
Difference in stock valuation …………………………………………………………………………………… | 43,000 |
- The income statement of a small publication house selling 4,000 sets of book in the last year printed at a capacity output is as follows:
Sales revenue (4,000 sets of book @Rs. 250 per set) Less: Variable cost: Material cost Labour cost Manufacturing overheads Selling and distribution overheads | 10,00,000 200,000180,000200,00080,000 |
Contribution margin Less: Fixed manufacturing overheads Non-manufacturing overheads | 340,000200,00080,000 |
Net income | 60,000 |
Small publication house has made projection of selling 4,300 sets of book for the current year. There is no beginning stock of book but expected ending stock of 200 sets of book for the current year. The unit cost and selling price will remain unchanged for the current year.
- Required: Income statement under absorption costing.
Ans: Rs. 95,500
Solution
- Income Statement under Absorption costing
Particulars | Rs. | Rs. |
Sales Revenue (4,300 × Rs. 250) ……………………………………………………… Less: Manufacturing cost of goods sold: Materials (4,500 @ Rs. 50) ……………………………………………………………… Labour @ Rs. 45…………………………………………………………………………… Variable Manufacturing cost @ Rs. 50…………………………………………………. Fixed Manufacturing cost @ Rs. 50…………………………………………………….. | 225,000 202,500 225,000 225,000 | 10,75,000 |
Less: Closing stock (200 @ Rs. 195) ………………………………………………….. | 877,500 39,000 | |
Less: Over valuation of Fixed Mfg. Cost (225,000 – 200,000)…………………….. | 838,500 25,000 | 813,500 |
Gross profit …………………………………………………………………………… Less: Non-manufacturing overhead: Variable selling and distribution overheads……………………………………………. Fixed non-manufacturing overheads ………………………………………………….. | 86,000 80,000 | 261,500 166,000 |
Net Income …………………………………………………………………………… | 95,500 |
- The income statement of a company as on 31st Chaitra last year has been given as under:
Production units………………………………………………………………………………………….. | 1,200 |
Sales units………………………………………………………………………………………………… | 1,000 |
Sales revenue @ Rs.12………………………………………………………………………………… | Rs.12,000 |
Less: Cost of goods sold: Variable manufacturing costs @ Rs. 4………………………………………………………… Fixed manufacturing overheads@ Rs. 2………………………………………………………. | Rs.4,800 2,400 |
Cost of production @ Rs. 6……………………………………………………………………… | Rs.7,200 |
Add: Beginning inventory (Rs.6 ´ 200 units)………………………………………………….. | 1,200 |
Total cost of goods available for sale………………………………………………………….. | Rs.8,400 |
Less: Ending inventory (Rs. 6 ´ 400 units)……………………………………………………. | Rs.2,400 |
Cost of goods sold………………………………………………………………………………… | 6,000 |
Gross profit before adjustment………………………………………………………………….. | Rs.6,000 |
Add: Over absorption of fixed manufacturing overhead ……………………………………. | Rs. 400 |
Gross profit after adjustment | Rs.6,400 |
Less: Non-manufacturing costs: Variable selling and administrative costs @ Re. 1……………………………………. 1,000 Fixed selling and administrative costs …………………………………………………. 1,000 | 2,000 |
Net profit …………………………………………………………………………………………………. | Rs. 4,400 |
Required:
- (a) Income statement under variable costing.
- (b) Reconciliation statement to disclose the difference in net profit.
Ans: (a) Rs. 4,000 (b) Rs. 400
Solution
Budgeted fixed manufacturing costs = Fixed cost applied – Over absorption of fixed costs
= Rs. 2400 – Rs. 400 = Rs. 2,000
(a) Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales @ Rs. 12……………………………………………………………………………………. | 12,000 | |
Less: Variable manufacturing cost of goods sold Variable mfg. overheads: @ Rs. 4 each ´ 1,200………………………………. | 4,800 | |
Variable manufacturing cost of production @ Rs. 4 each …………………………………. Add: Opening stock: @ Rs. 4 each ´ 200……………………………………………………. Less: Closing stock: @ Rs. 4 each ´ 400…………………………………………………….. | 4,800 800 (1,600) | |
Variable manufacturing cost of goods sold …………………………………………………… | 4,000 | |
Gross contribution margin ………………………………………………………………… Less: Non-mfg. variable cost: Selling and distribution overhead @ Rs. 1 ´ 1,000 | 1,000 | 8,000 1,000 |
Net contribution margin Less: Fixed cost / Periodic cost:……………………………………………………………….. Factory overheads ………………………………………………………………………… Office and selling overheads …………………………………………………………….. | 2,000 1,000 | 7,000 3,000 |
Net profit before tax ……………………………………………………………………………. | 4,000 |
(b) Reconciliation Statement
Particulars | Rs. |
Net income under absorption costing…………………………………………………………………………….. Net income under variable costing……………………………………………………………………………….. | 4,400 4,000 |
Difference in net income……………………………………………………………………………………………. | 400 |
Ending inventory in units…………………………………………………………………………………………… Beginning inventory in units……………………………………………………………………………………….. | 400 200 |
Difference in inventory (a)………………………………………………………………………………………….. Manufacturing fixed cost per unit (b)……………………………………………………………………………… | 200 2 |
Difference in inventory value (a × b)………………………………………………………………………….. | 400 |
- A company has followed the full costing method in its pricing policy of the product. The income statement based of absorption costing is given below:
Sales in unit……………………………………………………………………………………………………. | 10,000 |
Sales revenue…………………………………………………………………………………………………. | Rs. 4,00,000 |
Less: Cost of goods sold: | |
Beginning inventory @ Rs 25 ´ 2000 unit …………………………………………………………. | 50,000 |
Direct material @ Rs 10 ´ 9,000 units ……………………………………………………………… | 90,000 |
Direct labour @ Rs. 10 ´ 9,000 units ………………………………………………………………. | 90,000 |
Variable overhead @ Rs 2 ´ 9000 units …………………………………………………………… | 18,000 |
Fixed overhead @ Rs. 3 ´ 9000 units ……………………………………………………………… | 27,000 |
Total cost of goods available for sales………………………………………………………….. | 2,75,000 |
Less: Ending inventory @ Rs. 25 ´ 1000 units ………………………………………………….. | 25,000 |
Cost of goods sold…………………………………………………………………………………… | 2,50,000 |
Gross margin before adjustment…………………………………………………………………….. | 1,50,000 |
Less: Fixed cost under absorbed…………………………………………………………………………. | 3,000 |
Gross margin after adjustment……………………………………………………………………. | 1,47,000 |
Less: Other fixed cost………………………………………………………………………………………. | 47,000 |
Net income before tax……………………………………………………………………………….. | 1,00,000 |
Required:
- (a) Conversion of conventional income statement into variable costing income statement
- (b) Reconciliation statement
- (c) Explain the reasons of difference in net profit, if any.
Ans: (a) Rs. 1,03,000 (b) Rs. (3,000)
solution
Given:
Total fixed overhead = Recorded under absorption costing + Fixed cost under absorbed
= 27,000 + 3,000 = Rs. 30,000
(a) Income Statement Under Variable Costing
Particulars | Rs. | Rs. |
Sales ………………………………………………………………………………………………. | 4,00,000 | |
Less: Variable manufacturing cost of goods sold Direct material cost @ Rs. 10 ´ 9,000…………………………………… Direct labour cost @ Rs. 10 ´ 9,000…………………………………… Variable mfg. overheads: @ Rs. 2 ´ 9,000…………………………………….. | 90,000 90,000 18,000 | |
Variable manufacturing cost of production @ Rs. 22 each ……………………………….. Add: Opening stock: @ Rs. 22 each ´ 2,000……………………………………………….. Less: Closing stock: @ Rs. 22 each ´ 1,00…………………………………………………. | 1,98,000 44,000 (22,000) | |
Variable manufacturing cost of goods sold ………………………………………………….. | 2,20,000 | |
Net contribution margin ………………………………………………………………….. Less: Fixed cost / Periodic cost: Factory overheads ………………………………………………………………………… Other fixed cost……………………………………………………………………………. | 30,000 47,000 | 1,80,000 77,000 |
Net profit before tax …………………………………………………………………………… | 1,03,000 |
(b) Reconciliation Statement
Particulars | Rs. |
Net income under absorption costing……………………………………………………………………………. Net income under variable costing………………………………………………………………………………. | 1,00,000 1,.03,000 |
Difference in net income………………………………………………………………………………………… | (3,000) |
Ending inventory in units…………………………………………………………………………………………… Beginning inventory in units……………………………………………………………………………………….. | 1,000 2,000 |
Difference in inventory (a)…………………………………………………………………………………………. Manufacturing fixed cost per unit (b)…………………………………………………………………………….. | (1,000) 3 |
Difference in inventory value (a × b)………………………………………………………………………….. | (3,000) |
- The variable costing income statement of a Ltd. company is as follows:
Particulars | Rs. |
Sales revenue………………………………………………………………………………………………. | 8,40,000 |
Less: Variable cost of sales: | |
Beginning inventory @ Rs. 18 ´ 3,000 units…………………………………………………….. | 54,000 |
Direct material cost @ Rs. 5 ´ 27,000 units…………………………………………………….. | 1,35,000 |
Direct labour cost @ Rs. 8 ´ 27,000 units……………………………………………………….. | 2,16,000 |
Variable manufacturing overhead @ Rs. 5 ´ 27,000 units……………………………………. | 1,35000 |
Total cost of goods available ……………………………………………………………………… | 5,40,000 |
Less: Ending inventory @ Rs.18 ´ 2000 units………………………………………………………… | 36,000 |
Total variable cost of sale …………………………………………………………………………. | 5,04,000 |
Contribution margin …………………………………………………………………………………. | 3,36,000 |
Less: Fixed manufacturing overhead…………………………………………………………………… | 1,00,000 |
Net income before tax ……………………………………………………………………………… | 2,36,000 |
- Normal capacity 25,000 units and Sales 28,000 units
- Required:
- (a) Conversion of variable costing into absorption costing
- (b) Reconciliation statement
- (c) Explain briefly the over absorption of fixed manufacturing overhead cost
Ans: (a) Net profit after tax Rs. 2,32,000 (b) Difference in net profit = Rs. (4,000)
solution
Given:
Total manufacturing fixed cost (TMFC) = Rs. 1,00,000
Normal capacity (NC) = 25,000 units
Manufacturing fixed cost per unit = = = Rs. 4
a. Income Statement Under Absorption Costing
Particulars | Rs. | Rs. |
Sales @…………………………………………………………………………………………. | 8,40,000 | |
Manufacturing cost of goods sold : Direct material cost @ Rs. 5 ´ 27,000 units ……………….. Direct labour cost @ Rs. 8 ´ 27,000 units………………… Variable overheads @ Rs. 5 ´ 27,000 units ……………….. Fixed manufacturing costing @ Rs. 4 ´ 27,000 units………………… | 1,35,000 2,16,000 1,35,000 1,08,000 | |
Manufacturing cost of production @ Rs. 22…………………………………. Add: Opening stock @ Rs. 22 ´ 3,000 units ……………….. Less: Closing stock @ Rs. 22 ´ 2,000 units ……………….. Less: Over absorption of Mfg. fixed cost………………………………………………….. | 5,94,000 66,000 44,000 (8,000) | |
Manufacturing cost of goods sold…………………………………………………………… | 6,08,000 | |
Net profit before tax…………………………………………………………………………. | 2,32,000 |
b. Reconciliation Statement
Particulars | Rs. |
Net income under absorption costing………………………………………………………………………….. Net income under variable costing…………………………………………………………………………….. | 2,32,000 2,36,000 |
Difference in net income…………………………………………………………………………………………. | (4,000) |
Ending inventory in units………………………………………………………………………………………… Beginning inventory in units…………………………………………………………………………………….. | 2,000 3,000 |
Difference in inventory (a)……………………………………………………………………………………….. Manufacturing fixed cost per unit (b)…………………………………………………………………………… | (1,000) 4 |
Difference in net profit (a × b)………………………………………………………………………………… | (4,000) |
- A manufacturing company reporting income under absorption costing system furnished you with the following data:
Year | First year | Second year |
Opening stock……………………………………………………………………………. | 1,500 units | 1,000 units |
Closing stock……………………………………………………………………………… | 1,000 units | 2,000 units |
- Standard fixed manufacturing overhead rate is Rs. 45 per unit.
- The company converted its income statement under absorption costing into variable costing technique and found difference in net income reporting as under. The first year showed an excess profit of Rs. 22,500 and a loss of Rs 45,000 in the second year.
Required:
- Reconciliation statement under variable costing system explaining the reasons for difference in net income reporting
Solution
Reconciliation Statement under Variable Costing
Particulars | Year-1 | Year-2 |
Net profit as per variable costing…………………………………………………. | x + 22,500 | x – 45,000 |
Less: Net profit as per absorption costing……………………………………… | x (Let) | x (Let) |
Difference in net profit…………………………………………………………… | 22,500 | (45,000) |
Opening stock in units……………………………………………………………… | 1,500 | 1,000 |
Less: Closing stock in units ………………………………………………………. | 1,000 | 2,000 |
Changes in stock …………………………………………………………………… | 500 | (1,000) |
(´) Manufacturing fixed cost per unit …………………………………………. | Rs. 45 | Rs. 45 |
Changes in stock valuation ……………………………………………………. | 22,500 | (45,000) |
- The variable costing statement of a company showed Rs. 12,000 more profit than the absorption costing statement with the ending inventory of 2,000 units in the first year. The same costing system showed less profit of Rs. 6,000 with the ending balance of inventory of 3,000 units in the second year. The company used Rs. 10 as variable costs and Rs.6 as standard fixed costs for the both years.
Required:
- Reconciliation statement to show the causes of differences in profit.
Ans: Rs. (12,000) and Rs. 6,000
Solution
Reconciliation Statement
Particulars | Year 1 | Year 2 |
Net income under absorption costing……………………………………………………… Let Net income under variable costing…………………………………………………………….. | x x+12,000 | x x-6,000 |
Difference in net income……………………………………………………………………. Rs. | (12,000) | 6,000 |
Ending inventory in units………………………………………………………………………… Beginning inventory in units…………………………………………………………………….. | 2,000 4,000 | 3,000 2,000 |
Difference in inventory (a)………………………………………………………………………. Manufacturing fixed cost per unit (b)……………………………………………………… Rs. | (2,000) 6 | 1,000 6 |
Difference in inventory value (a × b)…………………………………………………… Rs. | (12,000) | 6,000 |
Working notes:
i. Difference in inventory = = = (2,000)
ii. Beginning inventory in units = Ending inventory in unit – Difference in unit of inventory
= 2,000 – (2,000) = 4,000 units
iii. Ending inventory of 1st year will be beginning inventory of 2nd year automatically.
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