To find Sudhir's overall profit percentage from selling the laptop and the scanner-cum-printer, we can follow these steps:
### Step 1: Calculate the Cost Price (CP)
- Sudhir purchased a laptop for ₹42,000.
- He also purchased a scanner-cum-printer for ₹8,000.
- Therefore, the total cost price (CP) is:
\[
CP = 42,000 + 8,000 = 50,000
\]
### Step 2: Calculate the Selling Price (SP) of the Laptop
- The selling price of the laptop is calculated by adding a 10% profit to the cost price of the laptop.
- Profit on the laptop:
\[
\text{Profit on Laptop} = 10\% \text{ of } 42,000 = \frac{10}{100} \times 42,000 = 4,200
\]
- Therefore, the selling price of the laptop is:
\[
SP_{\text{laptop}} = 42,000 + 4,200 = 46,200
\]
### Step 3: Calculate the Selling Price (SP) of the Scanner-cum-Printer
- The selling price of the scanner-cum-printer is calculated by adding a 5% profit to the cost price of the scanner-cum-printer.
- Profit on the scanner-cum-printer:
\[
\text{Profit on Scanner} = 5\% \text{ of } 8,000 = \frac{5}{100} \times 8,000 = 400
\]
- Therefore, the selling price of the scanner-cum-printer is:
\[
SP_{\text{scanner}} = 8,000 + 400 = 8,400
\]
### Step 4: Calculate the Total Selling Price (SP)
- The total selling price from both items is:
\[
SP_{\text{total}} = SP_{\text{laptop}} + SP_{\text{scanner}} = 46,200 + 8,400 = 54,600
\]
### Step 5: Calculate the Total Profit
- The total profit is calculated as the difference between total selling price and total cost price:
\[
\text{Total Profit} = SP_{\text{total}} - CP = 54,600 - 50,000 = 4,600
\]
### Step 6: Calculate the Profit Percentage
- The profit percentage is calculated using the formula:
\[
\text{Profit Percentage} = \left( \frac{\text{Total Profit}}{CP} \right) \times 100
\]
- Substituting the values:
\[
\text{Profit Percentage} = \left( \frac{4,600}{50,000} \right) \times 100 = 9.2\%
\]
### Final Answer
Sudhir's overall profit percentage is **9.2%**.
