Multiple choice

A shopkeeper sells a T.V. set for Rs. 16,560 at 10% discount on its marked price and earns 15% profit. If no discount is offered, then what will be his percent profit?

  1. 27×7/9

  2. 22×7/9

  3. 25×7/9

  4. None of these
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A Correct answer
Explanation

The marked price is Rs 16,560/0.9 = Rs 18,400, and the cost price is Rs 16,560/1.15 = Rs 14,400. Without a discount, the profit is 4,000/14,400 × 100 = 27 7/9%.

AI explanation

Using the relation MP × 0.90 = CP × 1.15, the marked price is established as 1.15/0.90 of the cost price. If no discount is offered, the new selling price equals the marked price, so the profit percentage is (1.15/0.90 - 1) × 100 = 27.77%. This equals 27×7/9 percent.

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