Rajan buys a toy for Rs.75 and sells it for Rs.100. His gain per cent is

Options

A. 0.25
B. 0.2
C. `33 1/3%`
D. `37 1/2%`

Answer

To find Rajan's gain percentage, we will follow these steps:

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- **Cost Price (CP)**: The price at which Rajan bought the toy is Rs. 75.
- **Selling Price (SP)**: The price at which Rajan sold the toy is Rs. 100.

### Step 2: Calculate the Gain
- **Gain** is calculated using the formula:
\[ \text{Gain} = \text{SP} - \text{CP} \]
- Substituting the values:
\[ \text{Gain} = 100 - 75 = 25 \]
- Therefore, Rajan's gain is Rs. 25.

### Step 3: Calculate the Gain Percentage
- The formula for Gain Percentage is:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100 \]
- Substituting the values:
\[ \text{Gain Percentage} = \left( \frac{25}{75} \right) \times 100 \]
- Simplifying the fraction:
\[ \text{Gain Percentage} = \left( \frac{1}{3} \right) \times 100 \approx 33.33\% \]

### Final Answer:
Rajan's gain percentage is **33.33%**.

---