SSC GD 2025 PYQ — Question 53

The correct answer is Option 3 i.e. $85\frac{5}{27}$%

Let the cost price of 1 kg of goods be ₹100.

Since the shopkeeper gives 46% less weight, he actually gives:

1 kg − 46% of 1 kg = 1 − 0.46 = 0.54 kg

He charges ₹100 for 0.54 kg, claiming it's sold at cost price.

Cost price of 0.54 kg = 0.54 × ₹100 = ₹54

Selling price of 0.54 kg = ₹100 (as per his claim)

Profit = Selling Price – Cost Price = ₹100 – ₹54 = ₹46

Profit % = $\left( \frac{46}{54} \right) \times 100 = \frac{4600}{54} = \frac{2300}{27} = 85\frac{5}{27}\%$