Multiple choice

The marked price of an item is twice the cost price. To earn 15% profit, the discount should be

  1. 7.5%

  2. 20.5%

  3. 32.5%

  4. 42.5%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100, then MP = 200. To earn 15% profit, SP = 115. Discount = MP - SP = 200 - 115 = 85. Discount % = (85/200) * 100 = 42.5%.

AI explanation

Let the cost price be Rs. 100 for straightforward percentage calculations. Since the marked price is twice the cost price, the marked price is Rs. 200. To earn a 15% profit, the required selling price must be Rs. 115. The necessary discount amount is the marked price minus the selling price, which is 200 minus 115, giving Rs. 85. Applying the discount percentage formula, the discount percentage is (85 divided by 200) multiplied by 100, which equals 42.5%.

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