A person sold an article from ₹ 3600 and got a profit of20%. Had he sold the article for ₹ 3150, how much profit would he have got?

Options

A. 0.04
B. 0.05
C. 0.06
D. 0.1

Explanation

To solve the problem step by step, we will first find the cost price (CP) of the article and then determine the profit when the article is sold for ₹ 3150.

### Step 1: Determine the Cost Price (CP)
The selling price (SP) when the article is sold for ₹ 3600 is given, along with the profit percentage of 20%.

Using the formula for selling price:
\[ SP = CP + \text{Profit} \]
Where profit can be calculated as:
\[ \text{Profit} = \frac{20}{100} \times CP = 0.2 \times CP \]

Thus, we can express the selling price as:
\[ SP = CP + 0.2 \times CP = 1.2 \times CP \]

Given that the selling price (SP) is ₹ 3600, we can set up the equation:
\[ 1.2 \times CP = 3600 \]

Now, we can solve for CP:
\[ CP = \frac{3600}{1.2} = 3000 \]

### Step 2: Calculate the Profit when Selling for ₹ 3150
Now that we have the cost price (CP) as ₹ 3000, we need to find the profit when the article is sold for ₹ 3150.

Using the profit formula:
\[ \text{Profit} = SP - CP \]
Substituting the values:
\[ \text{Profit} = 3150 - 3000 = 150 \]

### Step 3: Calculate the Profit Percentage
To find the profit percentage, we use the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{150}{3000}\right) \times 100 = 5\% \]

### Final Answer
When the article is sold for ₹ 3150, the profit would be ₹ 150, which corresponds to a profit percentage of 5%.

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