The profit earned after selling on article for 1666 is the same as the loss incurred after selling the article for 1252. What is the cost price of the article ?

Options

A. 1452
B. 1458
C. 1549
D. none of these

Answer

To find the cost price (CP) of the article, we can set up the problem based on the information given in the question.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We know that selling the article for Rs. 1666 results in a profit, and selling it for Rs. 1252 results in a loss.
- The profit earned when sold for Rs. 1666 is equal to the loss incurred when sold for Rs. 1252.

2. **Setting Up the Equations**:
- Let the cost price of the article be \( CP \).
- The profit when sold for Rs. 1666 can be expressed as:
\[ \text{Profit} = 1666 - CP \]
- The loss when sold for Rs. 1252 can be expressed as:
\[ \text{Loss} = CP - 1252 \]

3. **Equating Profit and Loss**:
- According to the problem, these two amounts are equal:
\[ 1666 - CP = CP - 1252 \]

4. **Solving the Equation**:
- Rearranging the equation gives:
\[ 1666 + 1252 = 2CP \]
- Adding the two numbers:
\[ 2918 = 2CP \]
- Dividing both sides by 2 to find \( CP \):
\[ CP = \frac{2918}{2} = 1459 \]

5. **Conclusion**:
- The cost price of the article is Rs. 1459.

### Final Answer:
The cost price of the article is Rs. 1459.