Amit sold a bag for Rs. 540, losing 10%. The cost price of the bag is

Options

A. (a) 400
B. (b) 550
C. (c) 600
D. (d) 850

Answer

To find the cost price (CP) of the bag that Amit sold for Rs. 540 with a loss of 10%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Selling Price (SP) = Rs. 540
- Loss Percentage = 10%

2. **Understand the Relationship Between SP, CP, and Loss Percentage:**
- When there is a loss, the relationship can be expressed as:
\[ CP = \frac{SP \times 100}{100 - \text{Loss Percentage}} \]

3. **Substitute the Given Values into the Formula:**
- Plug in the values we have:
\[ CP = \frac{540 \times 100}{100 - 10} \]
- This simplifies to:
\[ CP = \frac{540 \times 100}{90} \]

4. **Calculate the Cost Price:**
- First, calculate \(540 \times 100 = 54000\).
- Now divide by 90:
\[ CP = \frac{54000}{90} \]
- Performing the division:
\[ CP = 600 \]

5. **Conclusion:**
- The cost price of the bag is Rs. 600.

### Final Answer:
The cost price of the bag is Rs. 600.