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1. The value of $x$ where $x$ : $2 \frac{1}{3}$ :: $21$ : $50$ is -

A. $1 \frac{1}{49}$

B. $1 \frac{1}{50}$

C. $\frac{49}{50}$

D. $\frac{27}{50}$

Solution:

\begin{aligned} = x : 2 \frac{1}{3} :: 21 : 50 \\ \Rightarrow 50 x = \frac{7}{3} \times 21 \\ \Rightarrow 50 x = 49 \\ \Rightarrow x = \frac{49}{50} \end{aligned}

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