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1. If A : B = 7 : 9 and B : C = 5 : 4, then A : B : C is -

A. 7 : 45 : 36

B. 28 :36 : 35

C. 35 : 45 : 36

D. None of these

Solution:

\begin{aligned} = A : B = 7 : 9 and \\ B : C = 5 : 4 \\ = (5 \times \frac{9}{5}) : (4 \times \frac{9}{5}) \\ = 9 : \frac{36}{5} . \\ \Rightarrow A : B : C = 7 : 9 : \frac{36}{5} \\ = 35 : 45 : 36. \end{aligned}

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