An article is sold at a profit of `30%` . If the selling price is doubled, then what will be the profit percentage?

Options

A. 30
B. 130
C. 160
D. 100

Answer

To solve the problem step by step, let's denote the Cost Price (CP) of the article as \( CP \).

### Step 1: Calculate the Selling Price (SP) at 30% Profit
Given that the article is sold at a profit of 30%, we can calculate the Selling Price (SP) using the formula:
\[ SP = CP + (30\% \text{ of } CP) \]
This can be rewritten as:
\[ SP = CP + 0.3 \times CP = 1.3 \times CP \]

### Step 2: Assume a Value for CP
To make calculations easier, let's assume \( CP = 100 \) (you can choose any value, but 100 simplifies the percentage calculations).
Then:
\[ SP = 1.3 \times 100 = 130 \]

### Step 3: Double the Selling Price
Now, if the Selling Price is doubled, we have:
\[ \text{New SP} = 2 \times SP = 2 \times 130 = 260 \]

### Step 4: Calculate the New Profit
The new profit can be calculated as:
\[ \text{New Profit} = \text{New SP} - CP = 260 - 100 = 160 \]

### Step 5: Calculate the New Profit Percentage
The profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{New Profit}}{CP} \right) \times 100 \]
Substituting the values we have:
\[ \text{Profit Percentage} = \left( \frac{160}{100} \right) \times 100 = 160\% \]

### Final Answer
The new profit percentage when the selling price is doubled is **160%**.

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