A man bought an old type writer for Rs. 1200 and spent Rs. 200 on its repair. He sold it for Rs. 1680. His profit per cent is:

Options

A. `20%`
B. `10%`
C. `8%`
D. `16%`

Answer

To find the profit percentage from the given problem, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate the Total Cost Price (CP)**:
- The man bought the typewriter for Rs. 1200.
- He spent an additional Rs. 200 on repairs.
- Therefore, the total cost price (CP) is:
\[ CP = 1200 + 200 = 1400 \text{ Rs.} \]

2. **Identify the Selling Price (SP)**:
- The selling price of the typewriter is given as Rs. 1680.

3. **Calculate the Profit**:
- Profit can be calculated using the formula:
\[ \text{Profit} = SP - CP \]
- Substituting the values:
\[ \text{Profit} = 1680 - 1400 = 280 \text{ Rs.} \]

4. **Calculate the Profit Percentage**:
- The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]
- Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{280}{1400}\right) \times 100 \]
- Simplifying this:
\[ \text{Profit Percentage} = 0.2 \times 100 = 20\% \]

### Final Answer:
The profit percentage is **20%**.