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The value of x where x : 2(1/3) :: 21 : 50 is –

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

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