Multiple choice

A shopkeeper fixed his marked price 30% above the cost price. He sell 50% of the stock at the marked price, 50% of the remaining stock at 15% discount on the marked price and remainig at 9% less then the cost price. Find his overall profit percent?

  1. 15.375%

  2. 16.375%

  3. 14.375%

  4. 17.375%

  5. 15.275%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100. MP = 130. First 50% sells at 130 (profit 30). Remaining 50%: half at 15% discount = sells at 130(0.85) = 110.5 (profit 10.5), final half at 9% less than CP = sells at 91 (loss 9). Weighted average = 0.5(30) + 0.25(10.5) + 0.25(-9) = 15 + 2.625 - 2.25 = 15.375%. Option A is correct.

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