An article is sold at a loss of 15%. If the selling price is doubled, then what will be the profit percentage?

Options

A. 75
B. 50
C. 70
D. 100

Answer

To solve the problem step by step, let's follow the reasoning provided in the video transcript:

### Step 1: Understand the Cost Price (CP) and Selling Price (SP)
- Let's assume the Cost Price (CP) of the article is 100.

### Step 2: Calculate the Selling Price (SP) at a Loss of 15%
- Since the article is sold at a loss of 15%, we can calculate the Selling Price (SP) using the formula:
\[ SP = CP - (Loss\% \times CP) \]
- Here, the loss percentage is 15%, so:
\[ SP = 100 - (15\% \times 100) = 100 - 15 = 85 \]

### Step 3: Double the Selling Price
- Now, if the Selling Price is doubled, we calculate the new Selling Price:
\[ New\ SP = 2 \times SP = 2 \times 85 = 170 \]

### Step 4: Calculate the Profit
- To find out the profit, we subtract the Cost Price from the new Selling Price:
\[ Profit = New\ SP - CP = 170 - 100 = 70 \]

### Step 5: Calculate the Profit Percentage
- The profit percentage can be calculated using the formula:
\[ Profit\% = \left( \frac{Profit}{CP} \right) \times 100 \]
- Substituting the values we found:
\[ Profit\% = \left( \frac{70}{100} \right) \times 100 = 70\% \]

### Conclusion
- Therefore, the profit percentage when the selling price is doubled is **70%**.