Rahul's salary is 20% more than Mohan's salary. Rahul got a raise of 30% on his salary while Mohan got a raise of 40% on his salary. Approximately by what percent is Rahul's salary more than Mohan's salary after increment ?.

Correct option is A

Concept/Formula Used:

1. If Rahul's salary is 20% more than Mohan's salary, let Mohan's salary be x , then Rahul's salary is:

Rahul's Salary (Initial = 1.2x

2. After their respective salary increments:
- Rahul's new salary:

New Salary = Initial Salary $$\times$$​ (1 + Raise Percentage)

- Mohan's new salary:

New Salary = Initial Salary $$\times$$​ (1 + Raise Percentage)

3. To calculate how much Rahul's salary is more than Mohan's salary (after increment), use:

Difference Percentage = $$\frac{\text{Rahul's Salary} - \text{Mohan's Salary}}{\text{Mohan's Salary}} \times 100$$​​

Step 1: Assume Mohan's Initial Salary:

Let x = 100 (for simplicity).

Rahul's Initial Salary = 1.2 $$\times$$​ 100 = 120

Step 2: Calculate New Salaries After Increment:

- Rahul's new salary:

$$\text{New Salary} = 120 \times (1 + 0.30) = 120 \times 1.30 = 156$$​​

- Mohan's new salary:

$$\text{New Salary} = 100 \times (1 + 0.40) = 100 \times 1.40 = 140$$​​

Step 3: Calculate the Percentage Difference:

The difference between their new salaries is:

156 - 140 = 16

The percentage difference is:

$$\text{Difference Percentage} = \frac{16}{140} \times 100 \approx 11.43\%$$​​

Correct Answer:

(A) 11%