15 laptops were purchased at Rs. 15,000 each and all of them were sold for Rs. 2.97 Lakh .Find the profit percentage .

Options

A. `28%`
B. `40%`
C. `33.33%`
D. `32%`

Answer

To find the profit percentage from the given information, we can follow these steps:

### Step 1: Calculate the Cost Price (CP) of 15 laptops
The cost price of one laptop is given as Rs. 15,000. Therefore, the cost price of 15 laptops can be calculated as:
\[ \text{Cost Price (CP)} = \text{Number of laptops} \times \text{Price per laptop} = 15 \times 15,000 \]
Calculating this gives:
\[ \text{CP} = 15 \times 15,000 = 225,000 \text{ Rs.} \]
This can also be expressed as Rs. 2.25 Lakh.

### Step 2: Identify the Selling Price (SP)
The selling price of all 15 laptops is given as Rs. 2.97 Lakh.

### Step 3: Calculate the Profit
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price (SP)} - \text{Cost Price (CP)} \]
Substituting the values we have:
\[ \text{Profit} = 2.97 \text{ Lakh} - 2.25 \text{ Lakh} \]
Calculating this gives:
\[ \text{Profit} = 0.72 \text{ Lakh} \]

### Step 4: Calculate the Profit Percentage
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{0.72 \text{ Lakh}}{2.25 \text{ Lakh}} \right) \times 100 \]
Calculating this gives:
\[ \text{Profit Percentage} = \left( \frac{0.72}{2.25} \right) \times 100 \approx 32\% \]

### Final Answer
The profit percentage is **32%**.

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