If $A : B = 2 : 3$ and $B : C = 4 : 5$ , then $C : A$ is equal to ________.

15 : 8

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12 : 10

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8 : 5

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8 : 15

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Solution

The correct option is A $15 : 8$
Given: $\frac{A}{B} = \frac{2}{3}$

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

Now, $\frac{B}{C} = \frac{4}{5}$
putting the value of B in terms of A we get

$\Rightarrow \frac{3 A}{2 C} = \frac{4}{5}$

$\Rightarrow \frac{C}{A} = \frac{15}{8}$

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