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CAT 2020 Slot 2 · Quant · Profit, Loss and Discount · easy

An article is sold at a loss of 12%. Had it been sold for ₹300 more, there would have been a profit of 8%. What is the cost price (in ₹)?

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An article is sold at a loss of 12%. Had it been sold for ₹300 more, there would have been a profit of 8%. What is the cost price (in ₹)?
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Answer: 1500

Let CP = C. Selling price at 12% loss = 0.88C. Selling price at 8% profit = 1.08C.

The difference between these two selling prices is ₹300: 1.08C − 0.88C = 300 → 0.20C = 300 → C = 1500.

Check: at a 12% loss, SP = 0.88 × 1500 = 1320; at an 8% profit, SP = 1.08 × 1500 = 1620; difference = 300. ✓
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