A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 26% 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 2)

Answer 1

Given:

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 26% less than what is written on it.

Formula used:

Profit Percentage = \(\left(\dfrac{Selling\ Price\ -\ Cost\ Price}{Cost\ Price}\right) \times 100\)

Calculation:

Let the Cost Price (CP) of 1 kg be ₹100.

Since the shopkeeper uses a weight that is 26% less, the weight used is 74% of 1 kg.

⇒ Actual weight used = 0.74 kg

Selling Price (SP) for 0.74 kg = ₹100 (as he claims to sell at cost price for 1 kg)

Profit = SP - CP for 0.74 kg

CP for 0.74 kg = 0.74 × 100 = ₹74

Profit = 100 - 74 = ₹26

Profit Percentage = \(\dfrac{Profit}{CP} \times 100\)

⇒ Profit Percentage = \(\dfrac{26}{74} \times 100\)

⇒ Profit Percentage = \(\dfrac{2600}{74}\) = \(35 \frac{5}{37}\%\)

∴ The correct answer is option (4).

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