Question

A shopkeeper cheats in weight by 10% and also makes a profit of 20% on cost price. Then the total profit percentage made is:

• A. 30%
• B. 33.33%
• C. 35%
• D. 40%

Hint:

In weight cheating, always adjust quantity before calculating profit.

Answer 1

The Correct Option is B

Concept: Combine profit and cheating in weight.
Step 1: Assume CP of 1 kg = Rs.100.

Step 2: Profit of 20%.
\[ {SP of 1 kg} = 120 \]
Step 3: Cheating in weight.
\[ {He gives only } 0.9 { kg for Rs.120} \]
Step 4: Find cost of 0.9 kg.
\[ {CP} = 0.9 \times 100 = 90 \]
Step 5: Profit.
\[ {Profit} = 120 - 90 = 30 \] \[ {Profit %} = \frac{30}{90} \times 100 = 33.33% \]
Hence, the total profit is 33.33%.