A retailer buys a radio for Rs 225. His overhead expense is 15 He sells the radio for 300. The profit percent is:

Options

A. 0.25
B. 26`2/3`%
C. 0.2
D. 33`1/3`%

Answer

To find the profit percentage for the retailer who buys a radio, let's break down the solution step by step.

### Step-by-Step Solution:

1. **Identify the Cost Price (CP)**:
The retailer buys the radio for Rs 225.
\[ \text{Cost Price (CP)} = 225 \text{ Rs} \]

2. **Add Overhead Expenses**:
The retailer has an overhead expense of Rs 15. To find the actual cost price, we add this expense to the cost price.
\[ \text{Actual Cost Price} = \text{CP} + \text{Overhead Expense} = 225 + 15 = 240 \text{ Rs} \]

3. **Identify the Selling Price (SP)**:
The selling price of the radio is given as Rs 300.
\[ \text{Selling Price (SP)} = 300 \text{ Rs} \]

4. **Calculate the Profit**:
Profit is calculated by subtracting the actual cost price from the selling price.
\[ \text{Profit} = \text{SP} - \text{Actual Cost Price} = 300 - 240 = 60 \text{ Rs} \]

5. **Calculate the Profit Percentage**:
The profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Actual Cost Price}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Profit Percentage} = \left( \frac{60}{240} \right) \times 100 \]
Simplifying this:
\[ \text{Profit Percentage} = \left( \frac{1}{4} \right) \times 100 = 25\% \]

### Final Answer:
The profit percentage is **25%**.

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