An article was sold at a loss of 18%. If it was sold for Rs 2,475 more, then there would have been a profit of 12%. The cost price of the article is:

Options

A. Rs 8,250
B. Rs 8,500
C. Rs 8,000
D. Rs 8,200

Answer

To find the cost price of the article, we can set up the problem using the information given in the question.

1. **Let the cost price (CP) of the article be Rs. x.**
- The article was sold at a loss of 18%. Therefore, the selling price (SP) at a loss of 18% can be calculated as:
\[ SP = CP - (18\% \text{ of } CP) = x - 0.18x = 0.82x \]

2. **If the article was sold for Rs. 2,475 more, there would have been a profit of 12%.**
- The selling price at a profit of 12% can be calculated as:
\[ SP = CP + (12\% \text{ of } CP) = x + 0.12x = 1.12x \]

3. **According to the problem, the difference between the two selling prices is Rs. 2,475.**
- Therefore, we can set up the equation:
\[ 1.12x - 0.82x = 2475 \]

4. **Simplifying the equation:**
- Combine like terms:
\[ (1.12 - 0.82)x = 2475 \]
\[ 0.30x = 2475 \]

5. **Now, solve for x (the cost price):**
- Divide both sides by 0.30:
\[ x = \frac{2475}{0.30} \]
\[ x = 8250 \]

6. **Thus, the cost price of the article is Rs. 8,250.**

### Final Answer:
The cost price of the article is Rs. 8,250.