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

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & = x:2\frac{1}{3}::21:50 \cr & \Rightarrow 50x = \frac{7}{3} \times 21 \cr & \Rightarrow 50x = 49 \cr & \Rightarrow x = \frac{{49}}{{50}} \cr} $$