A shopkeeper sells his goods at 15% discout. The marked price of an article whose selling price is Rs. 629 is :

Options

A. Rs. 740
B. Rs. 704
C. Rs. 700
D. Rs. 614

Answer

To find the marked price of an article sold at a 15% discount with a selling price of Rs. 629, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship between Selling Price, Marked Price, and Discount**:
- The selling price (SP) is calculated as:
\[ SP = \text{Marked Price} - \text{Discount} \]
- Given that the discount is 15%, we can express the discount in terms of the marked price (MP):
\[ \text{Discount} = 15\% \text{ of MP} = 0.15 \times \text{MP} \]

2. **Express Selling Price in Terms of Marked Price**:
- Substitute the discount into the selling price formula:
\[ SP = MP - 0.15 \times MP \]
- This simplifies to:
\[ SP = 0.85 \times MP \]

3. **Set Up the Equation**:
- We know the selling price is Rs. 629, so we can set up the equation:
\[ 0.85 \times MP = 629 \]

4. **Solve for Marked Price**:
- To find the marked price, divide both sides of the equation by 0.85:
\[ MP = \frac{629}{0.85} \]

5. **Calculate the Marked Price**:
- Performing the division:
\[ MP = 629 \div 0.85 \approx 740 \]

6. **Conclusion**:
- The marked price of the article is Rs. 740.

### Final Answer:
The marked price of the article is **Rs. 740**.

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