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1. $\frac{3}{4}$ : $\frac{1}{2}$ :: 27y : ? Solve this -

A. 12y

B. 18y

C. 21y

D. 24y

Solution:

Let the missing number be x.
Then,

\begin{aligned} = \frac{1}{3} : \frac{1}{2} :: 27 y : x \\ \Rightarrow \frac{3}{4} x = \frac{1}{2} \times 27 y \\ \Rightarrow x = \frac{27 y}{2} \times \frac{4}{3} \\ = 18 y \end{aligned}

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