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

Options

A. 32/7 %
B. 60/11 %
C. 13/2 %
D. 65/17 %

Answer

To find the gain percent for Alfred after selling the scooter, we can follow these steps:

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

\[ \text{Cost Price} = \text{Purchase Price} + \text{Repair Cost} \]
\[ \text{Cost Price} = 4700 + 800 = 5500 \]

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

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

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 5800 - 5500 = 300 \]

### Step 4: Calculate the Gain Percent
Gain percent is calculated using the formula:

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

\[ \text{Gain Percent} = \left( \frac{300}{5500} \right) \times 100 \]

### Step 5: Simplify the Calculation
Now, we simplify the fraction:

\[ \text{Gain Percent} = \frac{300 \times 100}{5500} = \frac{30000}{5500} \]

### Step 6: Further Simplification
To simplify \(\frac{30000}{5500}\), we can divide both the numerator and the denominator by 100:

\[ \text{Gain Percent} = \frac{300}{55} \]

### Step 7: Final Calculation
Now, we can calculate the gain percent:

\[ \text{Gain Percent} = \frac{300}{55} \approx 5.4545 \text{ (approximately)} \]

To express this in a more usable form, we can convert it to a percentage:

\[ \text{Gain Percent} \approx 5.45\% \]

### Conclusion
Thus, Alfred's gain percent on selling the scooter is approximately \(5.45\%\).

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