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Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?Choices:- Rs. 17,000 Rs. 20,000 Rs. 25,500 Rs. 38,000

Question

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?Choices:- Rs. 17,000 Rs. 20,000 Rs. 25,500 Rs. 38,000

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Solution

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)

114x + 228000 = 120x + 160000

Step 4: Simplify the equation to solve for x:

120x - 114x = 228000 - 160000

6x = 68000

x = 68000 / 6

x = 11333.33

Step 5: Now, substitute x = 11333.33 in 3x (Sumit's salary):

Sumit's salary = 3x = 3*11333.33 = Rs. 34,000

But this is not in the options. There seems to be a mistake in the problem or the options provided.

This problem has been solved

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