Rahul’s salary is 40% of Mohit’s salary. If Rahul’s salary is increased by 60% and Mohit’s salary is decreased by 20%, then Rahul’s salary will be how much percentage of Mohit’s salary?

Options

A. 80
B. 100
C. 105
D. 64

Answer

To solve the problem step by step, we will first define the salaries of Rahul and Mohit based on the information given in the question.

### Step-by-Step Solution:

1. **Define Mohit's Salary:**
Let Mohit's salary be \( M = 100 \) (we can assume any value, but 100 makes calculations easier).

2. **Calculate Rahul's Salary:**
Since Rahul’s salary is 40% of Mohit’s salary:
\[ R = 40\% \text{ of } M = 0.4 \times 100 = 40 \]
So, Rahul's salary \( R = 40 \).

3. **Increase Rahul's Salary by 60%:**
To find the new salary of Rahul after a 60% increase:
\[ \text{New Rahul's Salary} = R + 60\% \text{ of } R = R + 0.6R = 1.6R \]
Substituting \( R = 40 \):
\[ \text{New Rahul's Salary} = 1.6 \times 40 = 64 \]

4. **Decrease Mohit's Salary by 20%:**
To find the new salary of Mohit after a 20% decrease:
\[ \text{New Mohit's Salary} = M - 20\% \text{ of } M = M - 0.2M = 0.8M \]
Substituting \( M = 100 \):
\[ \text{New Mohit's Salary} = 0.8 \times 100 = 80 \]

5. **Calculate the Percentage of Rahul's New Salary with Respect to Mohit's New Salary:**
We need to find out what percentage Rahul's new salary is of Mohit's new salary:
\[ \text{Percentage} = \left( \frac{\text{New Rahul's Salary}}{\text{New Mohit's Salary}} \right) \times 100 \]
Substituting the new salaries:
\[ \text{Percentage} = \left( \frac{64}{80} \right) \times 100 = 80\% \]

### Final Answer:
Rahul's new salary will be **80%** of Mohit's new salary.