Sure! Let's break down the solution step by step:
1. Determine the cost price of each scooter:
- Cost price of each scooter: ₹ 20,000
- Number of scooters: 2
2. Calculate the selling price of the first scooter:
- He sold the first scooter at a profit of 15%.
- Therefore, the selling price of the first scooter is:
[tex]\[
\text{Selling Price}_1 = \text{Cost Price}_1 + \left(\frac{\text{Profit Percent}_1}{100} \times \text{Cost Price}_1\right)
\][/tex]
Substituting the values:
[tex]\[
\text{Selling Price}_1 = 20,000 + \left(\frac{15}{100} \times 20,000\right) = 20,000 + 3,000 = 23,000
\][/tex]
- So, the selling price of the first scooter is ₹ 23,000.
3. Calculate the selling price of the second scooter:
- He sold the second scooter at a loss of 4%.
- Therefore, the selling price of the second scooter is:
[tex]\[
\text{Selling Price}_2 = \text{Cost Price}_2 - \left(\frac{\text{Loss Percent}_2}{100} \times \text{Cost Price}_2\right)
\][/tex]
Substituting the values:
[tex]\[
\text{Selling Price}_2 = 20,000 - \left(\frac{4}{100} \times 20,000\right) = 20,000 - 800 = 19,200
\][/tex]
- So, the selling price of the second scooter is ₹ 19,200.
4. Calculate the total cost price of two scooters:
- The total cost price of two scooters is:
[tex]\[
\text{Total Cost Price} = 20,000 \times 2 = 40,000
\][/tex]
5. Calculate the total selling price of two scooters:
- The total selling price of two scooters is:
[tex]\[
\text{Total Selling Price} = \text{Selling Price}_1 + \text{Selling Price}_2
\][/tex]
Substituting the values:
[tex]\[
\text{Total Selling Price} = 23,000 + 19,200 = 42,200
\][/tex]
6. Calculate the net profit or loss:
- The net profit or loss is:
[tex]\[
\text{Net Profit/Loss} = \text{Total Selling Price} - \text{Total Cost Price}
\][/tex]
Substituting the values:
[tex]\[
\text{Net Profit/Loss} = 42,200 - 40,000 = 2,200
\][/tex]
7. Calculate the net profit or loss percentage:
- The net profit or loss percentage is:
[tex]\[
\text{Net Profit/Loss Percent} = \left( \frac{\text{Net Profit/Loss}}{\text{Total Cost Price}} \right) \times 100
\][/tex]
Substituting the values:
[tex]\[
\text{Net Profit/Loss Percent} = \left( \frac{2,200}{40,000} \right) \times 100 = 5.5 \%
\][/tex]
So, his net profit percentage is [tex]\(5.5 \%\)[/tex].
