Multiple choice

A shopkeeper marks his goods at 20% above the cost price. He sells three - fourths of his goods at the marked price. He sells the remaining goods at 50% of the marked price. Determine his profit percent on the whole transaction.

  1. 10%

  2. 8%

  3. 5%

  4. 7%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100, so MP = 120. 3/4 of goods sold at 120 = 90. Remaining 1/4 sold at 50% of 120 = 60, so 1/4 * 60 = 15. Total revenue = 90 + 15 = 105. Profit = 105 - 100 = 5%.

AI explanation

Let the cost price of the total goods be 100, making the marked price 120. He sells 3/4 of the goods at the marked price, earning 90, and sells the remaining 1/4 at 50% of the marked price, earning 15. The total selling price is 90 plus 15, which equals 105. The overall profit percentage is (105 - 100) / 100 * 100, resulting in a 5% profit.

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