Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

The ratio of present ages of five persons Kesari, Juneja, Aakriti, Mohsin and Rashmi is 12 : 15 : 18 : 21 : 20 and the sum of ages of Kesari, Rashmi and Aakriti after five years will be Rs 71 more than the sum of the present ages of Juneja and Mohsin.  Find the ratio of ages of all five persons after 10 years.

Options:

33 : 42 : 31 : 29 : 15

29 : 11 : 15 : 13 : 2

30 : 31 : 29 : 19 : 11

29 : 35 : 41: 47 : 45

Correct Answer:

29 : 35 : 41: 47 : 45

Explanation:

Let the age of five persons be 12x, 15x, 18x, 21x and 20x respectively.

ATQ, after five years

(12x + 5) + (18x + 5) + (20x + 5) = 71 + 15x + 21x

50x + 15 = 71 + 36x

14x = 56

x = 4

Ages of Kesari, Juneja, Aakriti, Mohsin and Rashmi are 48, 60, 72, 84, 80 respectively.

After 10 years, the age of Kesari, Juneja, Aakriti, Mohsin and Rashmi will be 58, 70, 82, 94, 90 respectively.

Required ratio = 58 : 70 : 82 : 94 : 90

                     = 29 : 35 : 41: 47 : 45