Profit after selling a commodity for Rs. 425 is same as loss after selling it for Rs. 355. The cost of the commodity is-

Options

A. Rs. 385
B. Rs. 390
C. Rs. 395
D. Rs. 400

Answer

To solve the problem, we need to find the cost price (CP) of a commodity given that the profit from selling it at Rs. 425 is equal to the loss from selling it at Rs. 355.

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the profit when selling at Rs. 425 is equal to the loss when selling at Rs. 355. We need to express this mathematically.

2. **Define Variables**:
- Let the cost price (CP) of the commodity be \( x \).
- Profit when selling at Rs. 425: \( 425 - x \)
- Loss when selling at Rs. 355: \( x - 355 \)

3. **Set Up the Equation**: Since the profit is equal to the loss, we can set up the equation:
\[ 425 - x = x - 355 \]

4. **Solve the Equation**:
- Rearranging the equation gives:
\[ 425 + 355 = 2x \]
- Simplifying the left side:
\[ 780 = 2x \]
- Now, divide both sides by 2:
\[ x = \frac{780}{2} = 390 \]

5. **Conclusion**: The cost price of the commodity is Rs. 390.

### Final Answer:
The cost price of the commodity is **Rs. 390**.

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