QA – Placement Quizzes | Percentages | Question 12

5 years ago age of Ram was 50 % less than Shyam’s age. If the ratio of Shyam’s present age to Ram’s present age 4:3. What will be Ram’s age after 7.5 years?
(A) 25 years
(B) 20 years
(C) 20 years
(D) 15 years


Answer: (D)

Explanation: Say Ram’s present age = R,

Shyam’s present age  = S,

R:S = 3:4,

R = 3S/4 ———— (1)

5 years ago Ram’s age = R-5,

5 years ago Shyam’s age S-5, and according to given condition, R-5 = (S-5)/2 ——- (2)

From 1 and 2:

(R – 5) = ((4R/3)-5)/2,

6R – 30 = 4R – 15,

R = 15/2 = 7.5 years,

After 7.5 years, Ram’s age = 7.5 + 7.5 = 15 years.

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