Ratio And Proportion Ques 45

Question-

At present Kavitha’s age is thrice Sita’s age. Eight years hence the respective ratio between Kavitha’s and Sita’s age will be 2: 1. What is $\frac{2}{3}$ rd of Kavitha’s present age?

(1) 12 years

(2) 16 years

(3) 10 years

(4) 15 years

(5) 18 years

(IBPS Bank PO/MT CWE Prelim Exam, 03.10.2020)

Show Answer

Correct Answer: (2)

Solution: (2)

Let Sita’s present age be $x$ years.

$\therefore $ Kavitha’s present age $=3 x$ years

After 8 years,

$\frac{3 x+8}{x+8}=\frac{2}{1}$

$\Rightarrow 3 x+8=2 x+16$

$\Rightarrow x=16-8=8$

$\therefore $ Kavitha’s present age $=3 \times 8=24$ years

$\therefore \frac{2}{3}$ rd of Kavitha’s age $=\frac{2 \times 24}{3}=16$ years