In the following questions, each question has four options (A), (B), (C) and (D). Choose the correct option and indicate your correct response.
If a merchant buys a T.V. of Rs. 900 and sells it for Rs. 1080. The profit per cent of merchant is

Options

A. 0.2
B. 0.02
C. 0.25
D. 0.1

Answer

To find the profit percentage for the merchant who bought a TV for Rs. 900 and sold it for Rs. 1080, we will follow these steps:

### Step 1: Identify the Cost Price (CP) and Selling Price (SP)
- The cost price (CP) of the TV is Rs. 900.
- The selling price (SP) of the TV is Rs. 1080.

### Step 2: Calculate the Profit
- Profit is calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
- Substituting the values:
\[ \text{Profit} = 1080 - 900 = 180 \]
- Therefore, the profit is Rs. 180.

### Step 3: Calculate the Profit Percentage
- The profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{180}{900} \right) \times 100 \]

### Step 4: Simplify the Calculation
- First, divide 180 by 900:
\[ \frac{180}{900} = 0.2 \]
- Now multiply by 100:
\[ 0.2 \times 100 = 20\% \]

### Final Answer
- The profit percentage of the merchant is **20%**.