Suresh loses `15%` when he sells his computer for Rs. 17,000 .If he sells it for 20, 448 ,then 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 can follow these calculations:

### Step 1: Determine the Cost Price
Suresh sells his computer at a loss of 15%. Let's assume the cost price (CP) of the computer is Rs. 100.

Since there is a loss of 15%, the selling price (SP) can be calculated as:
\[ SP = CP - \text{Loss} = 100 - 15 = 85 \]

### Step 2: Calculate the Actual Cost Price
We know that when Suresh sells the computer for Rs. 17,000, the selling price corresponds to the SP we calculated (Rs. 85). Therefore, we can set up the following proportion to find the actual cost price (CP):
\[ \frac{SP}{CP} = \frac{17000}{85} \]

To find the value of CP, we rearrange the equation:
\[ CP = \frac{17000 \times 100}{85} \]

Calculating this gives:
\[ CP = \frac{1700000}{85} = 20000 \]

So, the actual cost price of the computer is Rs. 20,000.

### Step 3: Calculate Profit When Selling at Rs. 20,448
Now, if Suresh sells the computer for Rs. 20,448, we need to calculate the profit:
\[ \text{Profit} = SP - CP = 20448 - 20000 = 448 \]

### Step 4: Calculate 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 we have:
\[ \text{Profit Percentage} = \left(\frac{448}{20000}\right) \times 100 \]

Calculating this gives:
\[ \text{Profit Percentage} = \left(\frac{448 \times 100}{20000}\right) = \frac{44800}{20000} = 2.24\% \]

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

---