If Nanda sold and article ar Rs 40 and earned 100% profit then what should be the selling price to earned profit of 300%

Answer

To solve the question step by step, we will first determine the cost price (CP) of the article based on the information given about the selling price (SP) and the profit percentage. Then, we will calculate the new selling price required to achieve a profit of 300%.

### Step 1: Determine the Cost Price (CP)
Given that Nanda sold the article for Rs. 40 and earned a profit of 100%, we can use the formula for selling price:

\[ SP = CP + \text{Profit} \]

Since the profit is 100% of the cost price, we can express it as:

\[ \text{Profit} = 100\% \text{ of } CP = \frac{100}{100} \times CP = CP \]

Thus, the selling price can be rewritten as:

\[ SP = CP + CP = 2 \times CP \]

Now, substituting the selling price:

\[ 40 = 2 \times CP \]

To find the cost price, we divide both sides by 2:

\[ CP = \frac{40}{2} = 20 \]

### Step 2: Calculate the Selling Price for 300% Profit
Now that we have the cost price, we can calculate the selling price required to earn a profit of 300%.

The profit of 300% means:

\[ \text{Profit} = 300\% \text{ of } CP = \frac{300}{100} \times CP = 3 \times CP \]

Thus, the new selling price (SP) can be expressed as:

\[ SP = CP + \text{Profit} = CP + 3 \times CP = 4 \times CP \]

Substituting the value of CP:

\[ SP = 4 \times 20 = 80 \]

### Final Answer
The selling price to earn a profit of 300% should be Rs. 80.

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