Question : A dishonest shopkeeper sells mangoes at INR 30 per kg, bought at INR 20 per kg, and he is giving 800 g instead of 1 kg. The shopkeeper's actual profit percentage is:
Option 1: 75%
Option 2: 37.5%
Option 3: 50%
Option 4: 87.5%
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Correct Answer: 87.5%
Solution : Given: The cost price is INR 20 per kg. The selling price is INR 30 per kg. So, the profit percentage if he sold 1 kg $=\frac{10}{20}\times 100 = 50$% Now, the gain as a result of the incorrect weight: $=\frac{\text{Error}}{\text{True weight – Error}}\times 100$ $=\frac{200}{1000 – 200}\times 100$ $=\frac{200}{800}\times 100$ $= 25$% The actual profit percentage: $=P_{1}+P_{2}+\frac{P_{1}\times P_{2}}{100}$ $=50 + 25 + \frac{50\times 25}{100}$ $=75 + 12.5$ $=87.5$% Hence, the correct answer is 87.5%.
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