Salaries of Rahim and Karim are in the ratio 2 : 3. If the salary of each is increased by ₹2000, the new ratio becomes 40 : 57. What is Karim's present salary? a) 

Given:

Salaries of Rahim and Karim are in the ratio 2:3.

Salary of each is increased by ₹2000, and the new ratio becomes 40:57.

Formula Used:

New Ratio = (Old Salary + Increment) / (Old Salary + Increment)

Calculation:

Let Rahim's present salary be 2x and Karim's present salary be 3x.

After increasing ₹2000, their salaries become:

Rahim: 2x + 2000

Karim: 3x + 2000

New ratio = 40:57

So, (2x + 2000) / (3x + 2000) = 40 / 57

Cross multiply:

57 × (2x + 2000) = 40 × (3x + 2000)

⇒ 114x + 114000 = 120x + 80000

⇒ 120x - 114x = 114000 - 80000

⇒ 6x = 34000

⇒ x = 34000 / 6 = 5666.67

Karim's present salary:

3x = 3 × 5666.67 = ₹17000

∴ Karim's present salary is ₹17000