Question : A shopkeeper professes to sell sugar costing INR 40/kg at INR 42/kg but gives only 550 grams of sugar in place of 600 grams using the faulty weighing machine. His profit percentage (correct to 2 decimal places) is:
Option 1: 14.55%
Option 2: 15.54%
Option 3: 15.45%
Option 4: 16.45%
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Correct Answer: 14.55%
Solution :
The rate at which the shopkeeper is selling sugar = INR 42/kg
The rate at which shopkeeper buys sugar = INR 40/kg
Cost price of 550 grams (0.55 kg) sugar = 40 × 0.55 = INR 22
The selling price of 600 grams (0.6 kg) sugar = 42 × 0.6 = INR 25.2
$\therefore$ Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$
= $\frac{25.2-22}{22}\times 100$
= 14.55%
Hence, the correct answer is 14.55%.
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