Question 110

If $$\frac{A}{B}=\frac{2}{3},\frac{B}{C}=\frac{4}{5}$$ and $$\frac{C}{D}=\frac{3}{2}$$,then what is the ratio of A : B : C : D?

Solution

Given : $$\frac{A}{B}=\frac{2}{3}$$ --------(i)

$$\frac{B}{C}=\frac{4}{5}$$ -----------(ii)

and $$\frac{C}{D}=\frac{3}{2}$$ -----------(iii)

Multiplying equation (iii) by '5', (ii) by '3' and (i) by '4'

=> $$\frac{A}{B}=\frac{8}{12},\frac{B}{C}=\frac{12}{15}$$ and $$\frac{C}{D}=\frac{13}{10}$$

$$\therefore$$ $$A:B:C:D=8:12:15:10$$

=> Ans - (D)

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