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1. In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. Then the ratio of the capitals of A and D is -

A. 9 : 20

B. 3 : 5

C. 5 : 3

D. 20 : 9

Solution:

\begin{aligned} = \frac{A}{B} = \frac{2}{1}, \frac{B}{C} = \frac{4}{3}, \frac{C}{D} = \frac{5}{6} \\ \Rightarrow \frac{A}{D} = (\frac{A}{B} \times \frac{B}{C} \times \frac{C}{D}) \\ = (\frac{2}{1} \times \frac{4}{3} \times \frac{5}{6}) \\ = \frac{20}{9} \\ \Rightarrow A : D = 20 : 9 \end{aligned}

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