A dealer allows a discount of 15%. A customer pays an amount of Rs. 318.75 for an article. At what price is the article listed ?

Options

A. Rs. 366.50
B. Rs. 375.00
C. Rs. 350.00
D. Rs. 431.25

Answer

To find the listed price (also known as the marked price) of the article, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Discount**: The dealer allows a discount of 15%. This means the customer pays 85% of the listed price (100% - 15% = 85%).

2. **Identify the Amount Paid**: The customer pays Rs. 318.75 for the article.

3. **Set Up the Equation**: Since Rs. 318.75 represents 85% of the listed price, we can express this relationship mathematically:
\[ 85\% \text{ of Listed Price} = 318.75 \]
This can be written as:
\[ 0.85 \times \text{Listed Price} = 318.75 \]

4. **Calculate the Listed Price**: To find the listed price, we can rearrange the equation:
\[ \text{Listed Price} = \frac{318.75}{0.85} \]

5. **Perform the Division**: Now, we will calculate the value:
\[ \text{Listed Price} = \frac{318.75}{0.85} \approx 375 \]

6. **Conclusion**: Therefore, the listed price of the article is Rs. 375.