Question : A dishonest dealer sells the goods at a 7% loss on cost price but uses 18% less weight. What is his percentage of profit?(Correct to 2 decimal places)
Option 1: 25.65%
Option 2: 12.82%
Option 3: 28.75%
Option 4: 13.41%
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Correct Answer: 13.41%
Solution : Let the actual weight of the goods be 1 kg or, 1000 gm. Seller gives 18% less on 1000 = $\frac{82}{100}×1000$ = 820 gm Let the cost price of each gram be Re. 1. The cost price of 820 gm = 820 Selling price of 1 kg = 7% of on 1000 = $\frac{93}{100}×1000$ = 930 Profit = 930 – 820 = 110 Profit percentage = $\frac{110}{820}×100=13.41\%$ Hence, the correct answer is 13.41%.
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