Kaushik bought a toy for 180 and sold it for 202.50. The rate of profit was ___%.

Options

A. 15.25
B. 12.5
C. 16
D. 17.5

Answer

To find the rate of profit percentage for Kaushik's transaction, we can follow these steps:

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- Cost Price (CP) = ₹180
- Selling Price (SP) = ₹202.50

### Step 2: Calculate the Profit
- Profit = Selling Price - Cost Price
- Profit = ₹202.50 - ₹180
- Profit = ₹22.50

### Step 3: Use the Formula for Profit Percentage
The formula for profit percentage is given by:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]

### Step 4: Substitute the Values into the Formula
- Profit = ₹22.50
- Cost Price = ₹180
\[ \text{Profit Percentage} = \left( \frac{22.50}{180} \right) \times 100 \]

### Step 5: Simplify the Calculation
- First, divide ₹22.50 by ₹180:
\[ \frac{22.50}{180} = 0.125 \]
- Now multiply by 100:
\[ 0.125 \times 100 = 12.5 \]

### Conclusion
The rate of profit percentage is **12.5%**.

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