The profit earned on selling an article for Rs.625 is the same as loss on selling it for R.435. The cost price of the article is.

Options

A. Rs.520
B. Rs.530
C. Rs.540
D. Rs.550

Answer

To find the cost price of the article, we can follow these steps:

### Step 1: Define the variables
Let the cost price of the article be \( x \).

### Step 2: Write the profit and loss equations
- When the article is sold for Rs. 625, the profit is given by:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 625 - x \]

- When the article is sold for Rs. 435, the loss is given by:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} = x - 435 \]

### Step 3: Set up the equation
According to the problem, the profit earned on selling for Rs. 625 is equal to the loss incurred on selling for Rs. 435. Therefore, we can set up the equation:
\[ 625 - x = x - 435 \]

### Step 4: Solve the equation
Now, we will solve for \( x \):
1. Rearranging the equation gives:
\[ 625 + 435 = x + x \]
\[ 1060 = 2x \]

2. Dividing both sides by 2:
\[ x = \frac{1060}{2} = 530 \]

### Step 5: Conclusion
The cost price of the article is Rs. 530.

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