A man bought a second hand T.V. set for Rs. 7650 and spends Rs. 350 on its repairs. He sold it for Rs. 8200. What percent did he gain?

Answer

To solve the problem step by step, we will calculate the cost price, gain, and gain percentage.

### Step 1: Calculate the Cost Price (CP)
The cost price is the total amount spent on the TV, which includes the purchase price and the repair cost.

- **Purchase Price of the TV** = Rs. 7650
- **Repair Cost** = Rs. 350

**Cost Price (CP) = Purchase Price + Repair Cost**
\[ CP = 7650 + 350 \]
\[ CP = 8000 \]

### Step 2: Calculate the Selling Price (SP)
The selling price is the amount for which the TV was sold.

- **Selling Price (SP)** = Rs. 8200

### Step 3: Calculate the Gain
Gain is calculated by subtracting the cost price from the selling price.

**Gain = Selling Price - Cost Price**
\[ Gain = SP - CP \]
\[ Gain = 8200 - 8000 \]
\[ Gain = 200 \]

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

**Gain Percentage = (Gain / Cost Price) × 100**

Substituting the values we have:

\[ Gain Percentage = \left( \frac{200}{8000} \right) \times 100 \]
\[ Gain Percentage = \left( \frac{1}{40} \right) \times 100 \]
\[ Gain Percentage = 2.5\% \]

### Final Answer
The gain percentage is **2.5%**.

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