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