Question

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 24% less than what is written on it. Find his profit percentage.

• A. 32 12/19%
• B. 31 11/19%
• C. 30 11/19%
• D. 33 22/19%

Answer 1

Answer:

B. 31 11/19%

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

Actual weight given

He uses a weight 24% less, so he gives:
$100\% - 24\% = 76\% = 0.76 \text{ kg}$

Selling price

He claims to sell at cost price ⇒ charges ₹100 for 1 kg,
but actually gives only 0.76 kg.

Cost of 0.76 kg

$\text{CP} = 0.76 \times 100$ = ₹76
Profit

$\text{Profit} = 100 - 76$ = ₹24

Profit %

$\frac{24}{76} \times 100 = 31 \frac{11}{19}\%$