By selling an article for Rs 1,500 double the profit is obtained than the profit that would have been obtained by selling it for Rs1,350. Find the cost price of the article

Options

A. Rs 1, 100
B. Rs 1, 200
C. Rs 1, 400
D. Rs 1, 000

Answer

To solve the problem, we need to find the cost price of the article based on the information given about the selling prices and profits.

### Step-by-Step Solution:

1. **Define Variables:**
Let the cost price of the article be \( CP \).

2. **Calculate Profit for Selling Price of Rs 1350:**
When the article is sold for Rs 1350, the profit can be expressed as:
\[ \text{Profit at Rs 1350} = 1350 - CP \]

3. **Calculate Profit for Selling Price of Rs 1500:**
When the article is sold for Rs 1500, the profit can be expressed as:
\[ \text{Profit at Rs 1500} = 1500 - CP \]

4. **Set Up the Equation:**
According to the problem, the profit from selling at Rs 1500 is double the profit from selling at Rs 1350. Therefore, we can write the equation:
\[ 1500 - CP = 2 \times (1350 - CP) \]

5. **Expand the Equation:**
Expanding the right side gives:
\[ 1500 - CP = 2700 - 2CP \]

6. **Rearrange the Equation:**
To isolate \( CP \), we can rearrange the equation:
\[ 1500 - 2700 = -2CP + CP \]
Simplifying this gives:
\[ -1200 = -CP \]
Therefore:
\[ CP = 1200 \]

7. **Conclusion:**
The cost price of the article is Rs 1200.

### Final Answer:
The cost price of the article is Rs 1200.