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A dishonest dealer sells his goods at a 10% loss on cost price but uses a weight that is 30% less than…

He makes a profit of \(28\frac{4}{7}\)%. Take the cost price as ₹ 1 per kg: for each 'kg' sold he charges ₹ 0.90 but hands over only 0.7 kg, which cost him ₹ 0.70. Profit =…

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A dishonest dealer sells his goods at a 10% loss on cost price but uses a weight that is 30% less than the true weight. What is his profit or loss percentage?

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Correct answer D

He makes a profit of 284728\frac{4}{7}%. Take the cost price as ₹ 1 per kg: for each 'kg' sold he charges ₹ 0.90 but hands over only 0.7 kg, which cost him ₹ 0.70. Profit = 0.90 − 0.70 = ₹ 0.20 on a cost of ₹ 0.70, i.e. 2/7 × 100 = 284728\frac{4}{7}%. The short weight outweighs the 10% price cut, so the result is a gain, not a loss, and 200/7 equals 284728\frac{4}{7}, not 283728\frac{3}{7}.

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