A man bought a radio for Rs 800 and spent Rs 400 on it. He sold it for Rs 1500. His gain per cent is

Options

A. 55
B. 35
C. 25
D. 52

Answer

To find the gain percentage, we will follow these steps:

### Step 1: Calculate the Total Cost Price (CP)
The man bought the radio for Rs. 800 and spent an additional Rs. 400 on it.

**Total Cost Price (CP) = Cost Price of Radio + Additional Expenses**
- CP = 800 + 400
- CP = Rs. 1200

### Step 2: Determine the Selling Price (SP)
The selling price of the radio is given as Rs. 1500.

### Step 3: Calculate the Gain
Gain can be calculated by subtracting the total cost price from the selling price.

**Gain = Selling Price (SP) - Total Cost Price (CP)**
- Gain = 1500 - 1200
- Gain = Rs. 300

### Step 4: Calculate the Gain Percentage
Gain percentage is calculated using the formula:

**Gain Percentage = (Gain / Total Cost Price) × 100**
- Gain Percentage = (300 / 1200) × 100

Now, we simplify this:
- Gain Percentage = (1/4) × 100
- Gain Percentage = 25%

### Final Answer
The gain percentage is **25%**.

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