A shopkeeper earns 25% profit. if he sells an article at 10% discount on the marked price Rs. 2500 . Find his profit .

Options

A. Rs. 450
B. Rs. 400
C. Rs. 375
D. Rs. 350

Answer

To solve the problem step by step, we need to find the profit earned by the shopkeeper after selling an article at a discount. Here’s how we can do it:

### Step 1: Calculate the Selling Price after Discount
The marked price of the article is Rs. 2500, and the shopkeeper sells it at a 10% discount.

**Calculation:**
- Discount = 10% of Marked Price
- Discount = 10/100 * 2500 = Rs. 250
- Selling Price (SP) = Marked Price - Discount
- SP = 2500 - 250 = Rs. 2250

### Step 2: Determine the Cost Price (CP)
The shopkeeper earns a profit of 25%. We can express the relationship between Cost Price (CP) and Selling Price (SP) using the profit percentage.

**Calculation:**
- Profit Percentage = (SP - CP) / CP * 100
- Given that Profit Percentage = 25%, we can rearrange this to find CP.
- Let CP = x
- 25 = (2250 - x) / x * 100
- 25x = 2250 - x
- 25x + x = 2250
- 26x = 2250
- x = 2250 / 26
- x = Rs. 86.54 (approximately)

### Step 3: Calculate the Profit
Now, we can find the profit earned by the shopkeeper.

**Calculation:**
- Profit = Selling Price - Cost Price
- Profit = 2250 - 86.54
- Profit = Rs. 2163.46 (approximately)

### Conclusion
The profit earned by the shopkeeper is approximately Rs. 2163.46.