If S.P.=₹ 900 and loss=25%, then C.P. is

Options

A. ₹1200
B. ₹1033
C. ₹1150
D. ₹1250

Explanation

To find the Cost Price (C.P.) when the Selling Price (S.P.) is ₹900 and the loss is 25%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Selling Price (S.P.) = ₹900
- Loss Percentage = 25%

2. **Understand the Relationship**:
- The formula relating Cost Price (C.P.), Selling Price (S.P.), and Loss Percentage is:
\[ S.P. = C.P. \times \left( \frac{100 - \text{Loss Percentage}}{100} \right) \]

3. **Substitute the Values into the Formula**:
- Substitute the values into the formula:
\[ 900 = C.P. \times \left( \frac{100 - 25}{100} \right) \]
- This simplifies to:
\[ 900 = C.P. \times \left( \frac{75}{100} \right) \]

4. **Rearranging the Equation**:
- To find C.P., rearrange the equation:
\[ C.P. = \frac{900 \times 100}{75} \]

5. **Calculate C.P.**:
- Simplify the calculation:
\[ C.P. = \frac{90000}{75} \]
- Dividing 90000 by 75 gives:
\[ C.P. = 1200 \]

6. **Conclusion**:
- The Cost Price (C.P.) is ₹1200.

### Final Answer:
C.P. = ₹1200

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