The profit earned after selling an article for ₹ 625 is same as the loss incurred after selling the article for ₹ 435. The cost price of the article is

Options

A. ₹ 520
B. ₹ 530
C. ₹ 540
D. ₹ 550

Answer

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

### Step 1: Define the Variables
Let:
- SP1 (Selling Price when profit is made) = ₹625
- SP2 (Selling Price when loss is incurred) = ₹435
- CP (Cost Price of the article) = ?

### Step 2: Set Up the Profit and Loss Equations
According to the problem, the profit earned when selling at SP1 is equal to the loss incurred when selling at SP2.

1. **Profit when sold for ₹625**:
\[ \text{Profit} = SP1 - CP = 625 - CP \]

2. **Loss when sold for ₹435**:
\[ \text{Loss} = CP - SP2 = CP - 435 \]

### Step 3: Set the Profit Equal to the Loss
Since the profit is equal to the loss, we can set the two equations equal to each other:
\[ 625 - CP = CP - 435 \]

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

2. Divide both sides by 2:
\[ CP = \frac{1060}{2} = 530 \]

### Conclusion
The cost price of the article is ₹530.

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