On selling an article for Rs. 329, a dealer lost 6%. The cost price of the article is

Options

A. Rs. 310.37
B. Rs. 348.74
C. Rs. 335
D. Rs. 350

Answer

To find the cost price (CP) of the article when the selling price (SP) is Rs. 329 and there is a loss of 6%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Selling Price and Loss Percentage:**
- Selling Price (SP) = Rs. 329
- Loss Percentage (L) = 6%

2. **Use the Formula for Selling Price:**
The formula for selling price when there is a loss is:
\[ SP = \left( \frac{100 - L}{100} \right) \times CP \]
Here, we need to rearrange the formula to find the cost price (CP):
\[ CP = \frac{SP \times 100}{100 - L} \]

3. **Substitute the Values:**
Substitute the known values into the formula:
\[ CP = \frac{329 \times 100}{100 - 6} \]
This simplifies to:
\[ CP = \frac{329 \times 100}{94} \]

4. **Calculate the Cost Price:**
Now, perform the multiplication and division:
\[ CP = \frac{32900}{94} \]

5. **Perform the Division:**
To find the cost price, divide 32900 by 94:
\[ CP = 350 \]

### Final Answer:
The cost price of the article is Rs. 350.

---