If x=1/3 y and y=1/2 z, then x: y: z is equal to · ABC26GN2987
Subject: General Aptitude · Chapter: Ratio and Proportion
If $x=\frac{1}{3} y$ and $y=\frac{1}{2} z$, then $x: y: z$ is equal to
(a)1 : 2 : 6
(b)1 : 3 : 6
(c)2 : 4 : 6
(d)3 : 2 : 1
Answer
Explanation
$x=\frac{1}{3} y=\frac{1}{3} \times \frac{1}{2} z=\frac{1}{6} z$. Let $x=\frac{1}{3} y=\frac{1}{6} z=k$. Then, $x=k, y=3 k, z=6 k$. $$\therefore x: y: z=k: 3 k: 6 k=1: 3: 6 .$$
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Ratio and Proportion
· Browse this chapter in the app