The salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs4000, the new ratio becomes 40 : 57. What is Sumit’s salary?

Let's solve this step by step:

Step 1: Let's assume the initial salaries of Ravi and Sumit are 2x and 3x respectively.

Step 2: According to the problem, when each of their salaries is increased by Rs 4000, the ratio becomes 40 : 57. We can write this as:

(2x + 4000) / (3x + 4000) = 40 / 57

Step 3: Cross multiply to solve for x:

57 * (2x + 4000) = 40 * (3x + 4000)

Step 4: Simplify the equation:

114x + 228000 = 120x + 160000

Step 5: Rearrange the equation to solve for x:

120x - 114x = 228000 - 160000

6x = 68000

Step 6: Solve for x:

x = 68000 / 6

x = 11333.33

Step 7: Now that we have the value of x, we can find Sumit's salary by substituting x = 11333.33 in 3x:

Sumit's salary = 3x = 3 * 11333.33 = Rs 34000

So, Sumit's salary is Rs 34000.