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