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

If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to:
[A]1 : 2
[B]1 : 3
[C]2 : 3
[D]3 : 2

2 : 3
We can write a : c by compounding a : b and b : c
\frac{a}{c} = \frac{a}{b}\times \frac{b}{c}, \frac{a}{c} = \frac{3}{4}\times \frac{8}{9}, \frac{a}{c} = \frac{2}{3}
=> a : c  = 2 : 3
Hence option [C] is the right answer.

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