If $A : B = 3 : 4,$ $B : C = 5 : 7$ and $C : D = 8 : 9,$ then the ratio of $A : B$ is

3 : 7

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7 : 3

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21 : 10

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10 : 21

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Solution

The correct option is D $10 : 21$
$\frac{A}{D} = \frac{A}{B} \times \frac{B}{C} \times \frac{C}{D} = \frac{3}{4} \times \frac{5}{7} \times \frac{8}{9} = \frac{10}{21} \Rightarrow A : D = 10 : 21.$

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Similar questions

A : B = \frac{1}{2} : \frac{3}{8}, B : C = \frac{1}{3} : \frac{5}{9}, C : D = \frac{5}{6} : \frac{3}{4}

A : B : C : D

A : B = \frac{1}{2} : \frac{3}{8}, B : C = \frac{1}{3} : \frac{5}{9}

C : D = \frac{5}{6} : \frac{3}{4}

A : B : C : D

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