If $a, b, c$ are three numbers such that $a : b = 3 : 4$ and $b : c = 8 : 9$ , then $a : c$ is equal to

1 : 3

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2 : 3

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3 : 2

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1 : 2

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Solution

The correct option is C $2 : 3$
$\frac{a}{b} = \frac{3}{4}, \frac{b}{c} = \frac{8}{9} \Rightarrow \frac{a}{c} = \frac{a}{b} \times \frac{b}{c}$

$= \frac{3}{4} \times \frac{8}{9} = \frac{2}{3} \Rightarrow a : c = 2 : 3$ .

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