An article was sold for Rs.2500 at a profit of 25%. What was the amount of profit?

Options

A. Rs. 1000
B. Rs. 500
C. Rs. 250
D. Rs. 2000

Answer

To find the amount of profit when an article is sold for Rs. 2500 at a profit of 25%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, Cost Price, and Profit Percentage
The selling price (SP) is given as Rs. 2500, and the profit percentage is 25%. The profit percentage is calculated based on the cost price (CP).

### Step 2: Set up the equation for Selling Price
The relationship can be expressed as:
\[ SP = CP + Profit \]
Where Profit can also be expressed in terms of Cost Price:
\[ Profit = \frac{Profit\%}{100} \times CP \]
Thus, we can rewrite the Selling Price as:
\[ SP = CP + \left(\frac{Profit\%}{100} \times CP\right) \]
This simplifies to:
\[ SP = CP \left(1 + \frac{Profit\%}{100}\right) \]

### Step 3: Substitute the known values into the equation
Substituting the values we have:
\[ 2500 = CP \left(1 + \frac{25}{100}\right) \]
This simplifies to:
\[ 2500 = CP \left(1 + 0.25\right) \]
\[ 2500 = CP \times 1.25 \]

### Step 4: Solve for Cost Price (CP)
To find CP, we can rearrange the equation:
\[ CP = \frac{2500}{1.25} \]
Calculating this gives:
\[ CP = 2000 \]

### Step 5: Calculate the Profit
Now that we have the cost price, we can calculate the profit:
\[ Profit = SP - CP \]
Substituting the values:
\[ Profit = 2500 - 2000 \]
\[ Profit = 500 \]

### Conclusion
The amount of profit is Rs. 500.

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