If a man buys an article for Rs. 80 and sells it for Rs. 100, then his gain percentage is

Options

A. 0.2
B. 0.25
C. 0.4
D. 1.25

Answer

To find the gain percentage when a man buys an article for Rs. 80 and sells it for Rs. 100, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Cost Price (CP) and Selling Price (SP)**:
- The cost price (CP) is the price at which the article is bought.
- Given: CP = Rs. 80
- The selling price (SP) is the price at which the article is sold.
- Given: SP = Rs. 100

2. **Calculate the Profit**:
- Profit is calculated as the difference between the selling price and the cost price.
- Formula: Profit = SP - CP
- Calculation: Profit = Rs. 100 - Rs. 80 = Rs. 20

3. **Use the Profit Percentage Formula**:
- The formula for profit percentage is:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \]
- Substitute the values into the formula:
\[ \text{Profit Percentage} = \left( \frac{20}{80} \right) \times 100 \]

4. **Calculate the Profit Percentage**:
- Simplify the fraction:
\[ \frac{20}{80} = \frac{1}{4} \]
- Now multiply by 100:
\[ \text{Profit Percentage} = \frac{1}{4} \times 100 = 25\% \]

5. **Final Answer**:
- The gain percentage is 25%.