if `A:B:C=2:3:4`, then `(A)/(B):(B)/(C):(C)/(A)` is equal to :

Options

A. `4:9:16`
B. `8:9:12`
C. `8:9:16`
D. `8:9:24`

Answer

D

Explanation

Let`A=2x,B=3x and C=4x`. Then,
`(A)/(B)=(2x)/(3x)=(2)/(3),(B)/(C)=(3x)/(4x)=(3)/(4) and (C)/(A)=(4x)/(2x)=(2)/(1)`
`rArr (A)/(B):(B)/(C):(C)/(A)=(2)/(3):(3)/(4):(2)/(1)=8:9:24`.