Question

A man buys 100 apples for Rs.3000 and sells 80 apples for Rs.3000. What is the percentage of profit?

• A. 20\%
• B. 22\%
• C. 24\%
• D. 25\%

Hint:

Convert everything to per-unit cost and price for bulk profit problems.

Answer 1

The Correct Option is D

Let's calculate the percentage of profit made in this transaction step-by-step:

The man buys 100 apples for Rs. 3000, so the cost price (CP) per apple is calculated as:

1. \(\text{CP per apple} = \frac{3000}{100} = \text{Rs. 30}\)

The man sells 80 apples for Rs. 3000, so the selling price (SP) per apple is calculated as:

1. \(\text{SP per apple} = \frac{3000}{80} = \text{Rs. 37.50}\)

The profit per apple is the difference between the selling price and the cost price:

1. \(\text{Profit per apple} = \text{SP per apple} - \text{CP per apple} = 37.50 - 30 = \text{Rs. 7.50}\)

The profit percentage is calculated based on the cost price using the formula:

1. \(\text{Profit Percentage} = \left( \frac{\text{Profit per apple}}{\text{CP per apple}} \right) \times 100%\)

Substituting the known values, we get:

1. \(\text{Profit Percentage} = \left( \frac{7.50}{30} \right) \times 100% = 25\%\)

Thus, the percentage of profit is 25%, which matches the given correct answer option.