Official Suggested Answer
Correct Answer: (B) ₹ 2,91,000 and ₹ 2,61,000
Source: ICAI Board of Studies. open source PDF ↗
Worked Solution
✓ VerifiedAnswer: (B) ₹2,91,000 and ₹2,61,000
The working capital estimation using the Operating Cycle Method links total operating expenses directly to the working capital required.
Step 1 – Working Capital before Contingency:
The given working capital of ₹1,01,850 already includes a 5% contingency provision.
Working capital (net of contingency) = 1,01,850 ÷ 1.05 = ₹97,000
Step 2 – Total Operating Expenses:
With 3 operating cycles per year, working capital represents the cost locked in one cycle.
Total Operating Expenses = Working capital per cycle × Number of cycles
= 97,000 × 3 = ₹2,91,000
Step 3 – Cost of Goods Sold (COGS):
COGS = Total Operating Expenses − Selling & Distribution Expenses
= 2,91,000 − 30,000 = ₹2,61,000
Verification via cost build-up:
- Closing FG = 31,100 − 4,200 = ₹26,900; Change in FG = −4,200 (decrease → increases COGS)
- COGS = Cost of Production + 4,200, so Cost of Production = 2,61,000 − 4,200 = 2,56,800
- RM Consumed = 2,56,800 − 1,12,800 (Wages & Mfg.) = 1,44,000
- Purchases = 1,44,000 − 24,450 + 28,200 = ₹1,47,750 (all on credit — consistent with creditors given)
All figures are internally consistent. Answer: (B)
Write it like this
1The skeleton
- Strip the contingency first — divide ₹1,01,850 by 1.05 before anything else; if you skip this, every downstream number is wrong and you hand the examiner a reason to mark (A) or (D).
- State the operating cycle logic explicitly — write 'Working capital = cost locked in one cycle', then multiply by 3; this one-liner shows you understand WHY the formula works, not just that it works.
- Sequence matters: Total Op. Expenses first, COGS second — the question lists them in that order; mirror it so the examiner's eye lands on ₹2,91,000 then ₹2,61,000 without hunting.
- Subtract only S&D expenses to move from Op. Expenses to COGS — write the subtraction line clearly; this is the single arithmetic step separating the two answers and it must be visible.
2Examiner-rewarded phrases
3Common trap
Watch out — option (A) is just (B) with the two figures swapped, and most students who rush pick (A) because they compute both numbers correctly but read 'Operating Expenses / COGS' as 'COGS / Operating Expenses'. Confirm the order in the question stem before circling your answer.