Find the CP when SP is Rs 400 and loss is 70%

Options

A. Rs ` (4000)/(3)`
B. `Rs. (5000)/(3)`
C. `Rs. (2000)/(3)`
D. `Rs. (7000)/(3)`

Answer

To find the Cost Price (CP) when the Selling Price (SP) is Rs 400 and the loss is 70%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Selling Price (SP) = Rs 400
- Loss Percentage = 70%

2. **Convert the loss percentage to a decimal:**
- Loss Percentage in decimal = 70% = 70/100 = 0.7

3. **Determine the remaining percentage after loss:**
- Remaining Percentage = 100% - Loss Percentage = 100% - 70% = 30%
- Remaining Percentage in decimal = 30% = 30/100 = 0.3

4. **Use the relationship between SP, CP, and loss:**
- The formula relating SP, CP, and loss is:
\[ SP = (1 - \text{Loss Percentage}) \times CP \]
- Rearranging the formula to find CP gives:
\[ CP = \frac{SP}{1 - \text{Loss Percentage}} \]

5. **Substitute the values into the formula:**
\[ CP = \frac{400}{0.3} \]

6. **Calculate CP:**
- To perform the division:
\[ CP = \frac{400 \times 10}{3} = \frac{4000}{3} \]

7. **Final Result:**
- Therefore, the Cost Price (CP) is \(\frac{4000}{3}\) Rs.