Question

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 18% less than what is written on it. Find his profit percentage.

• A. 18%
• B. 20%
• C. 25%
• D. 21 39/41 %

Answer 1

Answer:

D. 21 39/41 %

Let the cost price of 1 kg = ₹100 (assume for simplicity)

He claims to sell 1 kg at cost price, but actually gives only 82% of 1 kg.

Cost of 0.82 kg

$\text{CP of 0.82 kg} = 100 \times 0.82 = 82$
Selling price

He charges for 1 kg ⇒ ₹100

Profit

$\text{Profit} = 100 - 82 = 18$
Profit %

$\frac{18}{82} \times 100 = \frac{1800}{82} = 21.9512\ldots$
Convert to fraction:
$= \frac{900}{41} = 21 \frac{39}{41}\%$