If an article is sold at 5% profit instead of 5% loss then he receives 20 more than the first price. Find out the C.P. of the thing.

Options

A. Rs 200
B. Rs 210
C. Rs 100
D. Rs 400

Answer

To solve the problem, we need to find the cost price (C.P.) of the article based on the information given about the selling prices at different profit and loss percentages.

### Step-by-Step Solution:

1. **Let the Cost Price (C.P.) be denoted as \( x \)**.

2. **Calculate the Selling Price (S.P.) at 5% profit**:
\[ \text{S.P. at 5% profit} = x + 0.05x = 1.05x \]

3. **Calculate the Selling Price (S.P.) at 5% loss**:
\[ \text{S.P. at 5% loss} = x - 0.05x = 0.95x \]

4. **According to the problem, the difference between the selling prices at 5% profit and 5% loss is 20**:
\[ 1.05x - 0.95x = 20 \]

5. **Simplify the equation**:
\[ 0.10x = 20 \]

6. **Solve for \( x \)**:
\[ x = \frac{20}{0.10} = 200 \]

7. **Conclusion**:
The Cost Price (C.P.) of the article is \( \text{Rs. } 200 \).

### Final Answer:
The Cost Price of the article is Rs. 200.

---