Multiple choice

A shopkeeper claims to sell rice at cost price. He uses a false weight with the intention of selling rice at 25% profit. After selling rice to a customer, he realises that the customer has paid 10% less than what he should have paid. What is the actual profit percentage made by the shopkeeper?

  1. 6.25%

  2. 10%

  3. 12.5%

  4. 15%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. He intends to sell at 125. However, he gives a 10% discount on the price the customer pays, or the customer pays 10% less than the marked price. If he marks it at 125, the customer pays 0.9 * 125 = 112.5. The profit is 112.5 - 100 = 12.5%.

AI explanation

Let the cost price be Rs. 100. To make a 25% profit using a false weight, the shopkeeper intends to give the customer goods worth Rs. 80 for Rs. 100. However, the customer pays 10% less than the intended Rs. 100, meaning the shopkeeper receives Rs. 90 for goods worth Rs. 80. Using the profit percentage formula, (Profit / Cost Price) * 100 yields (10 / 80) * 100, resulting in an actual profit percentage of 12.5%.

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