Multiple choice

Aparna marked the price of an item to 50% above its cost price. What percent of discount (approximately) should be allowed to gain 10%?

  1. 27%

  2. 25%

  3. 35%

  4. 37%

  5. Na
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A Correct answer
Explanation

Let CP = 100, MP = 150. To gain 10%, SP = 110. Discount = MP - SP = 150 - 110 = 40. Discount % = (40/150) * 100 = 26.66%, which is approximately 27%.

AI explanation

Let the cost price be Rs. 100. To get a 10% profit, the selling price is Rs. 110, and the marked price is 150% of the cost price, which is Rs. 150. Using the discount formula, the discount percentage equals the difference between the marked price and the selling price divided by the marked price, then multiplied by 100. This calculates to (150 - 110) / 150 * 100, equaling 40 / 150 * 100, or approximately 26.67%, so the closest option is 27%.

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