Question

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 49% less than what is written on it. Find his profit percentage.

• A. 96 4/51 %
• B. 98 8/51 %
• C. 97 5/51 %
• D. 95 4/51 %

Answer 1

Answer:

A. 96 4/51 %

This is a standard false weight problem.

Understand the situation

The shopkeeper claims to sell at cost price.

But his weight is 49% less, meaning:
If he claims to give 100 units, he actually gives only 51 units.

Assume values

Let cost price of 100 units = ₹100

So, CP per unit = ₹1

When he “sells” 100 units, he actually gives only 51 units → cost to him = ₹51

But he charges ₹100

Profit

$\text{Profit} = 100 - 51 = 49$
Profit %

$\frac{49}{51} \times 100 \approx 96.08\%$