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A television set is sold for ₹Q and the shopkeeper earns a profit of 25%. During a clearance sale, he marks the same set at 1.4Q and allows a discount of 15% on the marked price. What is his profit percentage during the sale?
- 45.75%
- 40%
- 48.75%
- 50%
Correct answer: 48.75%
Solution
If selling price is Q with 25% profit, then cost price = Q/1.25 = 0.8Q. In the sale, marked price = 1.4Q and discount = 15%, so selling price = 0.85 × 1.4Q = 1.19Q. Profit = 1.19Q - 0.8Q = 0.39Q, so profit percentage = 0.39/0.8 × 100 = 48.75%.
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