Ratio And Proportion Ques 16
Question-
The present ages of Ranjana and Rakhi are in the ratio of $15: 17$ respectively. After 6 years, the respective ratio between the age of Ranjana and Rakhi will be 9 : 10 . What will be the age of Ranjana after 6 years?
(1) Other than those given as options
(2) 40 years
(3) 34 years
(4) 30 years
(5) 36 years
(IBPS Bank PO/MT CWE-V Main Exam. 31.10.2015)
Show Answer
Correct Answer: (5)
Solution: (5)
Ranjana’s present age $=15 x$ years
Rakhi’s present age $=17 x$ years
After 6 years,
$\frac{15 x+6}{17 x+6}=\frac{9}{10}$
$\Rightarrow 153 x+54=150 x+60$
$\Rightarrow 153 x-150 x=60-54$
$\Rightarrow 3 x=6 $
$\Rightarrow x=2$
$\therefore$ Ranjana’s age after 6 years $=15 x+6 =(15 \times 2+6)$ years $=36$ years