Question : A dealer sells his goods at a 10% loss on the cost price but uses 25% less weight. What is his profit percentage?
Option 1: 35%
Option 2: 20%
Option 3: 25%
Option 4: 15%
Correct Answer: 20%
Solution : Let the cost price of 1 kg of goods be Rs. 100. If the dealer sells his goods at a 10% loss, he sells 1 kg of goods for Rs. 90. However, he uses 25% less weight, which means he actually gives only 0.75 kg of goods for Rs. 90. So, the cost price for 0.75 kg of goods is Rs. 75 (since Rs. 100 × 0.75 = Rs. 75). Therefore, his profit is 90 – 7 = 15 for 0.75 kg of goods. $\text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100$ $= \left(\frac{15}{75}\right) \times 100 = 20\%$ Hence, the correct answer is 20%.
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