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

Options

A. 50
B. 100
C. 200
D. 150

Answer

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

### Step-by-Step Solution:

1. **Define Selling Price (SP)**:
Let's assume the selling price (SP) of the article is \( x \).

2. **Calculate Cost Price (CP)**:
According to the problem, the cost price (CP) is 50% of the selling price. Therefore,
\[ CP = 50\% \text{ of } SP = 0.5 \times x = \frac{x}{2} \]

3. **Calculate Profit**:
Profit is calculated as the difference between the selling price and the cost price. Thus,
\[ \text{Profit} = SP - CP = x - 0.5x = 0.5x \]

4. **Calculate Profit Percentage**:
The profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{CP} \right) \times 100 \]
Substituting the values we have:
\[ \text{Profit Percentage} = \left( \frac{0.5x}{0.5x} \right) \times 100 = 1 \times 100 = 100\% \]

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