A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 46% less than what is written on it. Find his profit percentage.

Question

Question

This question was previously asked in

SSC GD Constable 2025 Official Paper (Held On: 04 Feb, 2025 Shift 1)

Answer 1

Given:

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 46% less than what is written on it.

Formula used:

Profit Percentage = ((Selling Price - Cost Price) / Cost Price) × 100

Calculation:

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

Actual weight given = 1 kg - 46% of 1 kg

⇒ Actual weight given = 1 kg - 0.46 kg

⇒ Actual weight given = 0.54 kg

Selling price of 0.54 kg of goods = ₹100 (since he claims to sell at cost price)

Cost price of 0.54 kg of goods = 0.54 × 100

⇒ Cost price of 0.54 kg of goods = ₹54

Profit = Selling Price - Cost Price

⇒ Profit = ₹100 - ₹54

⇒ Profit = ₹46

Profit Percentage = (Profit / Cost Price) × 100

⇒ Profit Percentage = (₹46 / ₹54) × 100

⇒ Profit Percentage = \(85 \frac{5}{27} \%\)

∴ The correct answer is option 3.

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