Question

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.

• A. 37 10/37%
• B. 34 5/37%
• C. 35 5/37%
• D. 36 6/37%

Answer 1

Answer:

C. 35 5/37%

Let the cost price (CP) of goods be ₹100 per kg (for convenience).

The shopkeeper claims to sell at cost price, so he charges ₹100 for 1 kg.

But his weight is 26% less, so he actually gives:
$1\text{ kg} - 26$

Actual cost of 0.74 kg:

$\text{CP} = 0.74 \times 100 = ₹74$

Selling price:

$\text{SP} = 100$

Profit:

$\text{Profit} = 100 - 74 = 26$

Profit percentage:

$=\frac{26}{74} \times 100 = 35.14$

Profit percentage ≈ 35.14%