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Numerical Questions · Q3
Q.

Calculate the amount of gross profit and operating profit on the basis of the following balances extracted from the books of M/s Rajiv & Sons for the year ended March 31, 2026.

Account₹
Opening stock50,000
Net sales11,00,000
Net purchases6,00,000
Direct expenses60,000
Administration expenses45,000
Selling and distribution expenses65,000
Loss due to fire20,000
Closing stock70,000
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✓ Free question

Cost of goods sold ₹6,40,000 gives Gross profit ₹4,60,000; deducting operating expenses of ₹1,10,000 (loss by fire excluded as non-operating) gives Operating profit ₹3,50,000.

Concept & treatment. Direct expenses form part of cost of goods sold in the Trading Account. Operating profit is gross profit less operating expenses only — administration and selling & distribution. Loss due to fire is a non-operating loss and is therefore excluded from the operating-profit calculation.

Step 1 — Gross profit

Particulars₹
Net sales11,00,000
Less: Cost of goods sold (₹50,000 + ₹6,00,000 + ₹60,000 − ₹70,000)(6,40,000)
Gross profit4,60,000

Step 2 — Operating profit

Particulars₹
Gross profit4,60,000
Less: Administration expenses(45,000)
Less: Selling and distribution expenses(65,000)
Operating profit3,50,000

Working Notes

  1. Cost of goods sold = ₹50,000 + ₹6,00,000 + ₹60,000 − ₹70,000 = ₹6,40,000.
  2. Operating expenses = Administration ₹45,000 + Selling and distribution ₹65,000 = ₹1,10,000.
  3. Loss due to fire ₹20,000 is a non-operating loss and is not deducted while computing operating profit.
✓Final answer

Gross Profit = ₹4,60,000 and Operating Profit = ₹3,50,000.

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