Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs.15. His gain per cent is

Options

A. 0.5
B. 0.4
C. 0.35
D. 0.25

Answer

To solve the problem of finding the gain percentage when oranges are bought and sold, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the Cost Price (CP) of Oranges:**
- Oranges are bought at 5 for Rs. 10.
- Therefore, the cost price of 5 oranges = Rs. 10.
- To find the cost price of 1 orange, divide the total cost by the number of oranges:
\[ \text{Cost Price of 1 orange} = \frac{10}{5} = 2 \text{ Rs.} \]

2. **Calculate the Cost Price (CP) of 6 Oranges:**
- The cost price of 1 orange is Rs. 2.
- Thus, the cost price of 6 oranges is:
\[ \text{Cost Price of 6 oranges} = 6 \times 2 = 12 \text{ Rs.} \]

3. **Determine the Selling Price (SP) of 6 Oranges:**
- Oranges are sold at 6 for Rs. 15.
- Therefore, the selling price of 6 oranges = Rs. 15.

4. **Calculate the Gain:**
- Gain can be calculated using the formula:
\[ \text{Gain} = \text{Selling Price} - \text{Cost Price} \]
- Substituting the values:
\[ \text{Gain} = 15 - 12 = 3 \text{ Rs.} \]

5. **Calculate the Gain Percentage:**
- The formula for gain percentage is:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Gain Percentage} = \left( \frac{3}{12} \right) \times 100 = 25\% \]

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