Question 5

Statement of working capital requirement

15 marks

Time to write
About 30 minutes

From an older CBCS paper

Question

Question 5 · 15 marks

STU Ltd.'s cost sheet gives the data below:

ParticularsCost per Unit (Rs.)
Raw Material50
Direct Labour36
Overheads24
Total Cost110
Profits24
Selling Price134

The average backup stock held is:

Raw materialstwo months
Work in progress (50% completed)half month
Finished goodsone month

Suppliers allow a credit of one month, and debtors are allowed a credit of two months. On average, wages are paid with a time lag of 15 days, and overheads with a lag of one month. 40% of the sales are made on a cash basis. The cash balance is expected to be Rs. 2,40,000.

Prepare a statement of the working capital required to finance an activity level of 1,00,800 units of output. To allow for contingency, add 15% to your computed estimate. Production is carried on evenly over the year, and wages and overheads accrue in the same way. Clearly state your assumptions, if any.

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

30 minfor 15 marks

Read from the question

  • Prepare a statementDraw the format first (heading, columns, dates), then fill in the figures from your working.
  • computedFormula first, then the working, then the answer with its unit (₹, %, units).

What the paper leaves open

Work in progress is valued at raw material in full plus half of labour and overheads (50% complete). Debtors are valued at cost of sales on the 60% credit share.

Write it in this order

  1. Read the data; tick every adjustment as you plan it 2 min
  2. 1 Monthly output, cost basis and assumptions 2 marks 4 min
  3. 2 Raw materials and work in progress 4 marks 7 min
  4. 3 Finished goods, debtors (credit share, at cost) and cash 3 marks 5 min
  5. 4 Creditors, wages and overheads outstanding 3 marks 5 min
  6. 5 Net working capital and contingencies 3 marks 5 min
  7. Check: every adjustment used, both sides agree, dates in 2 min

Try it first. About 30 minutes for 15 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.

Basis. Cash-cost basis: stocks and debtors at cost (profit excluded). Output = 1,00,800 ÷ 12 = 8,400 units a month; cost per unit ₹110 (raw material 50, labour 36, overheads 24). Assumptions, as the question asks:

  1. Work in progress carries raw material in full and half of labour and overheads, being 50% complete (paper note), as in the DU text's worked statement and ICAI's (wages and overheads at 50%).
  2. Debtors are taken at cost, on the 60% of sales made on credit (paper note); the funds blocked in debtors are their cost; ICAI likewise takes debtors at their cash cost.
  3. Creditors are for raw materials; wages are paid 15 days (half a month) and overheads one month in arrear.

Statement of working capital required (₹)

ParticularsWorking₹
Current assets
Raw materials (2 months)8,400 × 2 × 508,40,000
Work in progress (½ month): raw material8,400 × ½ × 502,10,000
Work in progress: labour (50%)8,400 × ½ × 36 × 50%75,600
Work in progress: overheads (50%)8,400 × ½ × 24 × 50%50,400
Work in progress, total3,36,000
Finished goods (1 month, at cost)8,400 × 1 × 1109,24,000
Debtors (2 months, 60% credit, at cost)8,400 × 60% × 2 × 11011,08,800
Cash balance2,40,000
Total current assets34,48,800
Current liabilities
Creditors for raw materials (1 month)8,400 × 1 × 504,20,000
Outstanding wages (15 days)8,400 × 36 × ½1,51,200
Outstanding overheads (1 month)8,400 × 24 × 12,01,600
Total current liabilities7,72,800
Net working capital (current assets − current liabilities)26,76,000
Add: 15% for contingencies4,01,400
Working capital required30,77,400

Where the 15 marks sit

#ComponentMarks
1Monthly output, cost basis and assumptions2
2Raw materials and work in progress4
3Finished goods, debtors (credit share, at cost) and cash3
4Creditors, wages and overheads outstanding3
5Net working capital and contingencies3
Total15
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