Suresh loses 15% when he sells his computer for Rs 17,000. If he sells it for Rs 20,448, then his loss profit percentage is :

Options

A. Loss: 1.12%
B. Profit : 1.12%
C. Profit : 2.24%
D. Loss : 2.24%

Answer

To solve the problem step by step, we need to determine Suresh's cost price (CP) of the computer and then calculate the profit percentage when he sells it for Rs 20,448.

### Step 1: Calculate the Cost Price (CP)
Suresh sells the computer for Rs 17,000 at a loss of 15%.

To find the cost price when there is a loss, we can use the formula:
\[ \text{Selling Price (SP)} = \text{Cost Price (CP)} \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]

Given:
- SP = Rs 17,000
- Loss Percentage = 15%

Substituting the values into the formula:
\[ 17,000 = CP \times \left(1 - \frac{15}{100}\right) \]
\[ 17,000 = CP \times 0.85 \]

Now, we can solve for CP:
\[ CP = \frac{17,000}{0.85} \]
\[ CP = 20,000 \]

### Step 2: Calculate the Profit or Loss when Selling for Rs 20,448
Now, we need to find out if Suresh makes a profit or a loss when he sells the computer for Rs 20,448.

Given:
- New SP = Rs 20,448
- CP = Rs 20,000

Now, we calculate the profit:
\[ \text{Profit} = \text{New SP} - \text{CP} \]
\[ \text{Profit} = 20,448 - 20,000 \]
\[ \text{Profit} = 448 \]

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

Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{448}{20,000}\right) \times 100 \]
\[ \text{Profit Percentage} = 0.0224 \times 100 \]
\[ \text{Profit Percentage} = 2.24\% \]

### Final Answer
Suresh makes a profit of **2.24%** when he sells the computer for Rs 20,448.

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