Ratio And Proportion Ques 30
Question-
The respective ratio between $55 \%$ of $x$ and $88 \%$ of $y$ is $1: 2$. If the difference between $x$ and $y$ be 10 what is the value of $(3 x+y)$ ?
(1) 120
(2) 150
(3) 130
(4) 160
(5) 170
(IBPS RRBs Officer CWE (Prelim Exam) 16.09.2017)
Show Answer
Correct Answer: (5)
Solution: (5)
According to the question,
$ \therefore \frac{55 x}{100}: \frac{88 y}{100}=1: 2 $
$ \Rightarrow 5 x: 8 y=1: 2$
$ \Rightarrow \frac{5 x}{8 y}=\frac{1}{2} $
$\Rightarrow \frac{x}{y}=\frac{8}{5} \times \frac{1}{2}=\frac{4}{5} $
$\therefore x=4 a ; y=5 a $
$\therefore 5 a-4 a=10 $
$\Rightarrow a=10 $
$ \therefore x=40 \text { and } y=50 $
$\therefore 3 x+y=3 \times 40+50=170$
BETA
