Sumatra buys an old scooter for Rs.4700 and spends Rs.800 on its repairs. If he sells the scooter for Rs.5800 what is his gain percent.

Options

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

Answer

To find the gain percent for Sumatra's scooter transaction, we can follow these steps:

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

- Purchase Price = Rs. 4700
- Repair Cost = Rs. 800

**Cost Price (CP) = Purchase Price + Repair Cost**
\[ CP = 4700 + 800 = 5500 \text{ Rs.} \]

### Step 2: Identify the Selling Price (SP)
The selling price of the scooter is given as Rs. 5800.

**Selling Price (SP) = Rs. 5800**

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

**Gain = Selling Price - Cost Price**
\[ Gain = SP - CP = 5800 - 5500 = 300 \text{ Rs.} \]

### Step 4: Calculate the Gain Percent
Gain percent is calculated using the formula:
\[ \text{Gain Percent} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values we have:
\[ \text{Gain Percent} = \left( \frac{300}{5500} \right) \times 100 \]

### Step 5: Simplify the Gain Percent Calculation
Now we can simplify the calculation:
\[ \text{Gain Percent} = \left( \frac{300}{5500} \right) \times 100 = \frac{30000}{5500} \]

### Step 6: Calculate the Final Gain Percent
Now, we can perform the division:
\[ \text{Gain Percent} = \frac{30000}{5500} \approx 5.4545 \text{ (approximately)} \]

To express this as a percentage:
\[ \text{Gain Percent} \approx 5.45\% \]

### Final Answer
Thus, the gain percent is approximately **5.45%**.

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