Selling price of an article is Rs 4290. If 34% discount is given, then what is the marked price (in Rs)?

Options

A. 6800
B. 7200
C. 6300
D. 6500

Answer

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

### Step-by-Step Solution:

1. **Identify the Selling Price and Discount Percentage**:
- Selling Price (SP) = Rs 4290
- Discount Percentage = 34%

2. **Calculate the Percentage of Selling Price After Discount**:
- If a discount of 34% is given, then the selling price represents 100% - 34% = 66% of the marked price (MP).
- Therefore, SP = 66% of MP.

3. **Set Up the Equation**:
- We can express this relationship mathematically as:
\[ SP = \frac{66}{100} \times MP \]
- Substituting the known value of SP:
\[ 4290 = \frac{66}{100} \times MP \]

4. **Rearranging to Find Marked Price (MP)**:
- To find MP, we can rearrange the equation:
\[ MP = \frac{4290 \times 100}{66} \]

5. **Calculate the Marked Price**:
- First, calculate \(4290 \times 100 = 429000\).
- Now divide by 66:
\[ MP = \frac{429000}{66} \]
- Performing the division:
\[ MP = 6500 \]

6. **Conclusion**:
- The marked price of the article is Rs 6500.

### Final Answer:
**Marked Price = Rs 6500**

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