Multiple choice

Rajdeep offers a discount of 55% on his goods. How much percent the cost price of goods must be marked to make a profit of 12%?

  1. 250%

  2. 148.9%

  3. 236.6%

  4. 223.17%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Desired SP = 112. Discount = 55%, so SP = MP * (1 - 0.55) = 0.45 * MP. 112 = 0.45 * MP, so MP = 112 / 0.45 = 248.88. Percentage increase = (248.88 - 100) / 100 = 148.88%.

AI explanation

Let the cost price be Rs. 100 and the marked price be M. To make a 12% profit, the selling price must be Rs. 112, which equals the marked price minus a 55% discount, or 45% of M. Solving the equation 0.45 multiplied by M equals 112 gives M equal to Rs. 248.88. The cost price must be marked up by ((248.88 - 100) / 100) multiplied by 100, which is 148.9%.

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