Let's break down the problem step by step to determine the percentage by which Bipul's salary is less than Krish's salary.
1. Understanding the relationship between their salaries:
- Let's denote Krish's salary by [tex]\( K \)[/tex] and Bipul's salary by [tex]\( B \)[/tex].
- According to the problem, Krish's salary is 25% more than Bipul's salary.
- Mathematically, this means: [tex]\( K = B + 0.25B \)[/tex].
- Simplifying this, we get: [tex]\( K = 1.25B \)[/tex].
2. Finding the difference between the salaries:
- The difference in their salaries is given by [tex]\( K - B \)[/tex].
- Substituting [tex]\( K = 1.25B \)[/tex], we get: [tex]\( K - B = 1.25B - B \)[/tex].
- Simplifying this, we obtain: [tex]\( K - B = 0.25B \)[/tex].
3. Calculating the percentage by which Bipul's salary is less than Krish's salary:
- Now, we need to express this difference in terms of a percentage of Krish's salary [tex]\( K \)[/tex].
- The percentage difference is calculated as:
[tex]\[
\text{Percentage difference} = \left( \frac{\text{Difference in salary}}{\text{Krish's salary}} \right) \times 100
\][/tex]
- Substituting the known values, we get:
[tex]\[
\text{Percentage difference} = \left( \frac{0.25B}{1.25B} \right) \times 100
\][/tex]
- Simplifying the fraction inside the parentheses:
[tex]\[
\text{Percentage difference} = \left( \frac{0.25}{1.25} \right) \times 100
\][/tex]
- Further simplifying [tex]\( \frac{0.25}{1.25} \)[/tex], we get:
[tex]\[
\frac{0.25}{1.25} = 0.2
\][/tex]
- Therefore, the percentage difference is:
[tex]\[
0.2 \times 100 = 20\%
\][/tex]
Thus, Bipul's salary is 20% less than Krish's salary. The correct answer is:
d. [tex]\( 20\% \)[/tex]
