A person sold a cycle Rs 935 with a gain of 10%. Then, at how much amount did he purchase the cycle?

Options

A. Rs 945
B. Rs 850
C. Rs 925
D. Rs 1085

Answer

To find out how much the person purchased the cycle for, we can use the formula for calculating the cost price (CP) when we know the selling price (SP) and the gain percentage.

1. **Identify the given values**:
- Selling Price (SP) = Rs 935
- Gain Percentage (GP) = 10%

2. **Use the formula for Selling Price**:
The formula to calculate Selling Price when the Gain Percentage is known is:
\[ SP = CP + (GP \times CP) \]
This can be rewritten as:
\[ SP = CP \times (1 + \frac{GP}{100}) \]

3. **Substituting the known values into the formula**:
\[ 935 = CP \times (1 + \frac{10}{100}) \]
\[ 935 = CP \times (1 + 0.10) \]
\[ 935 = CP \times 1.10 \]

4. **Solve for CP**:
To find the cost price (CP), we can rearrange the equation:
\[ CP = \frac{935}{1.10} \]

5. **Calculate CP**:
\[ CP = \frac{935}{1.10} = 850 \]

Thus, the amount at which he purchased the cycle is **Rs 850**.