A man buys a radio for Rs 900 and sells it for Rs 1200. Find his gain per cent.

Options

A. 0.2
B. 0.25
C. 0.3
D. `33(1)/3%`

Answer

To find the gain percent when a man buys a radio for Rs 900 and sells it for Rs 1200, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Cost Price (CP) and Selling Price (SP)**:
- Cost Price (CP) = Rs 900
- Selling Price (SP) = Rs 1200

2. **Calculate the Gain (Profit)**:
- Gain = Selling Price - Cost Price
- Gain = SP - CP = 1200 - 900 = Rs 300

3. **Use the Gain Percent Formula**:
- Gain Percent = (Gain / Cost Price) × 100
- Gain Percent = (300 / 900) × 100

4. **Simplify the Calculation**:
- Gain Percent = (1/3) × 100
- Gain Percent = 33.33...%

5. **Convert to Mixed Fraction**:
- 33.33...% can be expressed as 33 1/3%.

### Final Answer:
The gain percent is **33 1/3%**.