Question 3 (b)

Working capital on a cash-cost basis

11 marks

Time to write
About 22 minutes

From an older CBCS paper

Question

Question 3 (b) · 11 marks

On a cash cost basis, calculate the working capital required from the estimates below, made by Kartik Ltd. for the next year:

₹
Sales (at gross profit of 20%)32,40,000
Raw material8,10,000
Wages6,48,000
Manufacturing Expenses outstanding at the end of the year72,000
Total Administrative Expenses2,16,000
Total Selling Expenses1,08,000
Desired cash balance1,20,000

Finished goods and raw material are held in stock to meet 1 month's requirement. The company allows its customers a credit of 2 months, and its suppliers allow it 2 months' credit. Wages are paid 15 days in arrear, and all other expenses 1 month in arrear. There is no work in progress. Depreciation is included in the company's cost of production. Finished goods are valued at manufacturing cost. A 15% safety margin is to be maintained. 11

Reworded from the university paper: names and figures differ, the task is the same. The original paper belongs to the University of Delhi. See DU's question bank.

Before you write

Read off the question and its marks

22 minfor 11 marks

Read from the question

  • calculateFormula first, then the working, then the answer with its unit (₹, %, units).

What the paper leaves open

Depreciation is included in the cost of production but its amount is not given; the answer derives the cost of production from sales less gross profit and states how depreciation is excluded on the cash cost basis.

Write it in this order

  1. Read the data; note exactly what is asked 1 min
  2. 1 Cost of production, cash manufacturing expenses and depreciation excluded 3 marks 6 min
  3. 2 Current assets on the cash-cost basis 3 marks 5 min
  4. 3 Current liabilities 3 marks 5 min
  5. 4 Net working capital and safety margin 2 marks 4 min
  6. Check: arithmetic, units (₹, %), final answer underlined 1 min

Try it first. About 22 minutes for 11 marks. Write it out, then open the solution.

Solution

Hover or tap a marked figure, like 72,000, to see how it is made and where else it appears.

Cash costs. On the cash-cost basis only cash costs are counted for finished goods and debtors (profit is left out), and the non-cash expense, depreciation, is excluded. Cost of production = sales less 20% gross profit = 32,40,000 × 0.80 = ₹25,92,000. All expenses other than wages are paid one month in arrear, so the ₹72,000 of manufacturing expenses outstanding is one month's: cash manufacturing expenses = 72,000 × 12 = ₹8,64,000. Depreciation inside the cost of production = 25,92,000 − (8,10,000 + 6,48,000 + 8,64,000) = ₹2,70,000 (paper note).

Cash costs₹
Raw material8,10,000
Wages6,48,000
Manufacturing expenses (cash)8,64,000
Cash cost of production23,22,000
Administrative expenses2,16,000
Selling expenses1,08,000
Cash cost of sales26,46,000

Statement of working capital required (₹). Finished goods are taken at manufacturing cost without depreciation, and debtors at the cash cost of sales, the funds actually blocked.

ParticularsWorking₹
Current assets
Raw material (1 month)8,10,000 × 1/1267,500
Finished goods (1 month, cash cost of production)23,22,000 × 1/121,93,500
Debtors (2 months, cash cost of sales)26,46,000 × 2/124,41,000
Cash balance1,20,000
Total current assets8,22,000
Current liabilities
Creditors (2 months' raw material)8,10,000 × 2/121,35,000
Wages (15 days in arrear)6,48,000 × 1/2427,000
Manufacturing expenses (1 month)72,000
Administrative expenses (1 month)2,16,000 × 1/1218,000
Selling expenses (1 month)1,08,000 × 1/129,000
Total current liabilities2,61,000
Net working capital (current assets − current liabilities)5,61,000
Add: 15% safety margin84,150
Working capital required6,45,150

There is no work in progress. Raw material purchases are taken equal to consumption for the creditors.

Where the 11 marks sit

#ComponentMarks
1Cost of production, cash manufacturing expenses and depreciation excluded3
2Current assets on the cash-cost basis3
3Current liabilities3
4Net working capital and safety margin2
Total11
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