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1. 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?

A. Rs. 17,000

B. Rs. 20,000

C. Rs. 25,500

D. Rs. 38,000

Solution:

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively

Then, \frac{2 x + 4000}{3 x + 4000} = \frac{40}{57}

⇒ 57(2x + 4000) = 40(3x + 4000)
⇒ 6x = 68,000
⇒ 3x = 34,000
Sumit's present salary
= (3x + 4000)
= Rs. (34000 + 4000)
= Rs. 38,000

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