A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 48% less than what is written on it. Find his profit percentage.

Correct option is D

Given:
The shopkeeper claims to sell at Cost Price (CP).
He uses a weight that is 48% less than the written weight.
Thus, actual weight given = 52% of true weight.
Formula Used:
​$$\text{Actual Weight} = \left(1 - \frac{\text{Less Weight}\%}{100}\right) \times \text{True Weight}\\\ \\\text{Profit\%} = \left( \frac{\text{True Weight} - \text{False Weight}}{\text{False Weight}} \right) \times 100$$​​
Solution:
True weight = 1000 g
Actual weight given = 1000 × (1 - 0.48) = 520 g
​$$\text{Profit\%} = \frac{1000 - 520}{520} \times 100 \\\ \\\text{Profit\%} = \frac{480}{520} \times 100\\\ \\\text{Profit\%} = 92.31\%\\\ \\$$​​