Question

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 21% less than what is written on it. Find his profit percentage.

• A. 27 47/79 %
• B. 26 46/79 %
• C. 25 46/79 %
• D. 28 92/79 %

Answer 1

Answer:

B. 26 46/79 %

Step 1: Understanding the problem

• Shopkeeper claims he is selling 1 kg (or 1000 g) at cost price.

• But the weight he actually gives is 21% less than 1 kg.

$\text{Actual weight given} = 100$

• So for the price of 1 kg, he actually gives only 0.79 kg.

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Step 2: Profit calculation

Let the cost price per kg = ₹100 (for simplicity, the actual number will cancel out).

• He charges for 1 kg → ₹100

• Actual cost for 0.79 kg = 0.79 × 100 = ₹79

$\text{Profit} = \text{Selling price} - \text{Cost price} = 100 - 79 = ₹21$

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Step 3: Profit percentage

$\text{Profit percent} = \frac{\text{Profit}}{\text{Cost price}} \times 100 = \frac{21}{79} \times 100 \approx 26.58percent$

Profit percentage ≈ 26.58% = 26 46/79 %