Selling price of an article is Rs. 6225. If 17% discount is given, then what is the marked price (in Rs.) ?

Options

A. 6900
B. 7800
C. 7100
D. 7500

Answer

To find the marked price of an article when the selling price and discount percentage are given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Selling Price (SP) = Rs. 6225
- Discount Percentage = 17%

2. **Calculate the Percentage of the Selling Price:**
- If a discount of 17% is given, then the remaining percentage of the marked price (MP) that is equal to the selling price is:
\[ 100\% - 17\% = 83\% \]

3. **Set Up the Equation:**
- Let the marked price be denoted as \( x \).
- According to the relationship between selling price and marked price, we have:
\[ 83\% \text{ of } x = \text{Selling Price} \]
- This can be expressed mathematically as:
\[ \frac{83}{100} \times x = 6225 \]

4. **Solve for the Marked Price (MP):**
- To find \( x \), we can rearrange the equation:
\[ x = \frac{6225 \times 100}{83} \]

5. **Calculate the Value:**
- First, calculate \( 6225 \times 100 = 622500 \).
- Now divide by 83:
\[ x = \frac{622500}{83} \approx 7500 \]

6. **Conclusion:**
- Therefore, the marked price of the article is Rs. 7500.

### Final Answer:
The marked price is Rs. 7500.

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