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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