If the cost price of an article is 50% of the selling price, then what is the profit percent?

Options

A. 100
B. 50
C. 75
D. 150

Answer

To find the profit percentage when the cost price (CP) of an article is 50% of the selling price (SP), we can follow these steps:

### Step-by-Step Solution:

1. **Define the relationship between CP and SP**:
- Given that the cost price (CP) is 50% of the selling price (SP), we can express this mathematically as:
\[ CP = 0.5 \times SP \]

2. **Express SP in terms of CP**:
- Rearranging the equation from step 1, we can express the selling price (SP) in terms of the cost price (CP):
\[ SP = \frac{CP}{0.5} = 2 \times CP \]

3. **Calculate the profit**:
- Profit is defined as the difference between the selling price and the cost price:
\[ Profit = SP - CP \]
- Substituting the expression for SP from step 2:
\[ Profit = (2 \times CP) - CP = CP \]

4. **Calculate the profit percentage**:
- The profit percentage is calculated using the formula:
\[ Profit\% = \left(\frac{Profit}{CP}\right) \times 100 \]
- Substituting the profit from step 3:
\[ Profit\% = \left(\frac{CP}{CP}\right) \times 100 = 100\% \]

### Final Answer:
The profit percentage is **100%**.