A man buys a books for ₹ 80 and sells for ₹ 100. His gains% is

Options

A. 2%
B. 25%
C. 120%
D. 125%

Answer

To find the gain percentage, we can follow these steps:

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- The cost price (CP) of the book is ₹80.
- The selling price (SP) of the book is ₹100.

### Step 2: Calculate the Gain
- Gain (Profit) is calculated as:
\[ \text{Gain} = \text{Selling Price} - \text{Cost Price} \]
- Substituting the values:
\[ \text{Gain} = 100 - 80 = ₹20 \]

### Step 3: Calculate the Gain Percentage
- Gain percentage is calculated using the formula:
\[ \text{Gain Percentage} = \left(\frac{\text{Gain}}{\text{Cost Price}}\right) \times 100 \]
- Substituting the values:
\[ \text{Gain Percentage} = \left(\frac{20}{80}\right) \times 100 \]

### Step 4: Simplify the Gain Percentage Calculation
- Simplifying the fraction:
\[ \frac{20}{80} = \frac{1}{4} \]
- Now, calculate:
\[ \text{Gain Percentage} = \frac{1}{4} \times 100 = 25\% \]

### Final Answer
- The gain percentage is **25%**.

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