Find the CP when SP is Rs. 200 and loss is 35%.

Answer

To find the Cost Price (CP) when the Selling Price (SP) is Rs. 200 and the loss is 35%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between CP, SP, and Loss:**
- When there is a loss, the Selling Price (SP) is less than the Cost Price (CP). The loss percentage is calculated on the Cost Price.

2. **Use the formula to find CP:**
- The formula to calculate the Cost Price (CP) when you know the Selling Price (SP) and the loss percentage is:
\[ CP = \frac{100}{100 - \text{Loss Percentage}} \times SP \]

3. **Substitute the known values into the formula:**
- Here, SP = Rs. 200 and Loss Percentage = 35%.
- Plugging these values into the formula gives:
\[ CP = \frac{100}{100 - 35} \times 200 \]

4. **Calculate the denominator:**
- First, calculate \(100 - 35\):
\[ 100 - 35 = 65 \]

5. **Substitute back into the formula:**
- Now, substitute this value back into the equation:
\[ CP = \frac{100}{65} \times 200 \]

6. **Simplify the fraction:**
- The fraction \(\frac{100}{65}\) can be simplified:
\[ \frac{100}{65} = \frac{20}{13} \]

7. **Multiply by SP:**
- Now multiply this by SP (200):
\[ CP = \frac{20}{13} \times 200 \]

8. **Calculate the multiplication:**
- This simplifies to:
\[ CP = \frac{4000}{13} \]

9. **Perform the division:**
- Now, divide 4000 by 13 to find CP:
\[ CP \approx 307.69 \]

10. **Final Answer:**
- Therefore, the Cost Price (CP) is approximately Rs. 307.69.