Multiple choice

A merchant uses a weight that is 8% less than the actual weight. If he sells the goods at 15% above the cost price, what is his actual profit percentage?

  1. 21%

  2. 23%

  3. 25%

  4. 27%

  5. 29%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let actual weight be 1000g, cost = 1000. Merchant uses 920g (8% less). Selling price for 1000g worth of goods (at 15% profit) = 1150. But he only gives 920g. Cost of 920g = 920. Profit = 1150 - 920 = 230. Profit % = (230/920) * 100 = 25%.

AI explanation

Assume the cost price of 1 kg is 100, so the claiming price for 1 kg at a 15% profit is 115. Because the merchant uses an 8% lower weight, he actually only gives 92% of a kg, or 0.92 kg. His actual cost for 0.92 kg is 92. The profit percentage is 115 minus 92 divided by 92 times 100, which equals 25%.

Keep practicing — related questions