Multiple choice

A storekeeper gave 20% discount on an article and earned 20% profit on it. If he had given only 10% discount, what would have been his profit percentage?

  1. 10%

  2. 20%

  3. 35%

  4. 40%

  5. 50%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP = 100. Discount 20% means SP = 80. Profit 20% means CP = 80 / 1.2 = 66.67. If discount is 10%, SP = 90. Profit = (90 - 66.67) / 66.67 = 23.33 / 66.67 = 35%.

AI explanation

Assume the cost price is Rs 100. Using the successive relationship between Cost Price, Marked Price and Selling Price, a 20% discount on the marked price yields a selling price of Rs 120. This means Marked Price * 0.80 = 120, so the Marked Price is 150. If the shopkeeper gives only a 10% discount, the new selling price becomes 150 - 15 = 135. The new profit percentage is ((135 - 100) / 100) * 100 = 35%.

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