Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
What is Rajan's present age? (Bank P.O., 2009) I. Ratio of present ages of Rajan and Madan is 3 : 4 respectively. II. Five years hence the ratio of ages of Rajan and Madan will be 4 : 5 respectively.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
From both I and II, we have: Let the present ages of Rajan and Madan be $3x$ and $4x$ years respectively. Then, $\frac{3x+5}{4x+5}=\frac{4}{5} \Rightarrow 5(3x+5)=4(4x+5)$ $\Rightarrow 15x+25=16x+20 \Rightarrow x=5$. So, Rajan's present age $=(3\times5)$ years $=15$ years. Thus, both I and II together give the answer. $\therefore$ Correct answer is (e).
Explanation as extracted from the printed page; notation may be imperfect.