If a : b = 8 : 9, b : c = 18 : 40, then a : c is

1 : 5

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5: 2

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2 : 5

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None

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Solution

The correct option is C 2 : 5
$a : b = 8 : 9, b : c = 18 : 40$
$\Rightarrow \frac{a}{b} = \frac{8}{9}, \frac{b}{c} = \frac{9}{20}$
$\Rightarrow a = \frac{8}{9} b$ and $c = \frac{20}{9} b$
Let $b = 9$
Therefore, $a = 8$ and $c = 20$
Hence, $a : c = 8 : 20 = 2 : 5$

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