An article is sold for Rs. 4080 after a discount of 15%. What is the marked price (in Rs.) of the article ?

Options

A. 4600
B. 4800
C. 4950
D. 5150

Answer

To find the marked price (MP) of the article after a discount of 15%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between Marked Price (MP), Selling Price (SP), and Discount**:
- When an article is sold after a discount, the Selling Price (SP) is a percentage of the Marked Price (MP).
- In this case, the discount is 15%, which means the Selling Price is 85% of the Marked Price.

2. **Set up the equation**:
- Let the Marked Price be MP.
- According to the problem, after a 15% discount, the Selling Price (SP) is Rs. 4080.
- Therefore, we can express this relationship as:
\[ SP = MP \times \left(1 - \frac{Discount}{100}\right) \]
- Substituting the values we have:
\[ 4080 = MP \times \left(1 - \frac{15}{100}\right) \]
- This simplifies to:
\[ 4080 = MP \times 0.85 \]

3. **Solve for Marked Price (MP)**:
- To find MP, we can rearrange the equation:
\[ MP = \frac{4080}{0.85} \]

4. **Calculate the value**:
- Now, perform the division:
\[ MP = \frac{4080}{0.85} = 4800 \]

5. **Conclusion**:
- Therefore, the Marked Price of the article is Rs. 4800.

### Final Answer:
The marked price of the article is Rs. 4800.