Question

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

• A. \(28\frac{4}{7}\%\ \text{loss}\)
• B. \(28\frac{3}{7}\%\ \text{profit}\)
• C. \(28\frac{3}{7}\%\ \text{loss}\)
• D. \(28\frac{4}{7}\%\ \text{profit}\)

Answer 1

The Correct Option is D

Let the cost price be Rs. 100 and weight be 1 kg. 
The selling price will be 90\% of the cost, so the dealer sells at Rs. 90 per kg. 
However, due to using 30\% less weight, the actual quantity is only 0.7 kg. 

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