Ram purchases a Bike for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the Bike for Rs. 5800, his gain percent is:

Options

A. `1 (4)/(7) %`
B. `5 (5)/(11)%`
C. `10%`
D. `12%`

Answer

To solve the problem step by step, we will calculate the total cost price of the bike, the selling price, and then find the gain percentage.

### Step 1: Calculate the Total Cost Price (CP)
The total cost price of the bike includes the purchase price and the repair costs.

- Purchase Price of the bike = Rs. 4700
- Repair Costs = Rs. 800

**Total Cost Price (CP) = Purchase Price + Repair Costs**
\[ CP = 4700 + 800 = 5500 \]

### Step 2: Identify the Selling Price (SP)
The selling price of the bike is given in the question.

- Selling Price (SP) = Rs. 5800

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

**Gain = Selling Price - Cost Price**
\[ Gain = SP - CP \]
\[ Gain = 5800 - 5500 = 300 \]

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

**Gain Percentage = (Gain / Cost Price) × 100**
\[ Gain Percentage = \left( \frac{300}{5500} \right) \times 100 \]
\[ Gain Percentage = \left( 0.054545 \right) \times 100 \approx 5.45\% \]

### Final Answer
The gain percentage is approximately **5.45%**.

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