If x: y=3: 4, then (2 x+3 y):(3 y-2 x) would be equal to · ABC26GN3005
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: M.B.A. 2007
If $x: y=3: 4$, then $(2 x+3 y):(3 y-2 x)$ would be equal to
(a)2 : 1
(b)3 : 1
(c)3 : 2
(d)21 : 1
Answer
Explanation
$$\begin{aligned} & \frac{x}{y}=\frac{3}{4} \Rightarrow \frac{2 x+3 y}{3 y-2 x}=\frac{2\left(\frac{x}{y}\right)+3}{3-2\left(\frac{x}{y}\right)}=\frac{2 \times \frac{3}{4}+3}{3-2 \times \frac{3}{4}}=\frac{9}{2} \times \frac{2}{3}=3 \\ & \Rightarrow(2 x+3 y):(3 y-2 x)=3: 1 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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