Sure! Let's break down the problem step-by-step.
1. Identify the Cost Price (CP) and Selling Price (SP):
- Cost Price (CP) is the price at which Santosh bought the set of trousers, which is Rs. 200.
- Selling Price (SP) is the price at which Santosh sold the set of trousers, which is Rs. 240.
2. Calculate the Profit:
To find the profit, subtract the Cost Price (CP) from the Selling Price (SP).
[tex]\[
\text{Profit} = \text{SP} - \text{CP}
\][/tex]
Substituting the given values:
[tex]\[
\text{Profit} = 240 - 200 = 40
\][/tex]
3. Calculate the Profit Percentage:
The profit percentage can be calculated using the formula:
[tex]\[
\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100
\][/tex]
Substituting the given values:
[tex]\[
\text{Profit Percentage} = \left( \frac{40}{200} \right) \times 100 = 0.2 \times 100 = 20\%
\][/tex]
Therefore, Santosh's profit percentage is 20%.
The correct answer is:
a. 20%
