Ratios and Proportions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

If A : B : C = 2 : 3 : 4, then find A/B : B/C : C/A

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Let A = 2x, B = 3x, C = 4x, then,

$\frac{A}{B}$ = $\frac{2x}{3x}$ = $\frac{2}{3}$

$\frac{B}{C}$ = $\frac{3x}{4x}$ = $\frac{3}{4}$

$\frac{C}{A}$ = $\frac{4x}{2x}$ = $\frac{2}{1}$

$\frac{A}{B}$ : $\frac{B}{C}$ : $\frac{C}{A}$

= $\frac{2}{3}$ : $\frac{3}{4}$ : $\frac{2}{1}$

=8 : 9 : 24