Question:medium

A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss percentage?

Updated On: Nov 25, 2025
  • \(28\frac{4}{7}\%\ \text{loss}\)
  • \(28\frac{3}{7}\%\ \text{profit}\)
  • \(28\frac{3}{7}\%\ \text{loss}\)
  • \(28\frac{4}{7}\%\ \text{profit}\)
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The Correct Option is D

Solution and Explanation

Assuming a cost price of Rs. 100 for 1 kg, the selling price is set at 90\% of the cost, equating to Rs. 90 per kg. However, the dealer uses only 0.7 kg due to a 30\% reduction in weight.

The selling price for 0.7 kg is Rs. 90, while the cost price remains Rs. 100 for the original 1 kg. The profit percentage is calculated as \[ \frac{90 - 100}{100} \times 100 = 28 \frac{4}{7} \% \text{ profit.} \]

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