Question

If $x:\frac{1}{8}=\frac{1}{5}:\frac{1}{2}$, then what will be the value of $x$?

• A. $\frac{1}{10}$
• B. $\frac{1}{20}$
• C. $\frac{1}{30}$
• D. $\frac{1}{40}$

Answer 1

Answer: (B)

$\frac{1}{20}$

$\frac{x}{1/8}=\frac{1/5}{1/2}\Rightarrow 8x=\frac{2}{5}\Rightarrow x=\frac{2}{5\times 8}$
$\Rightarrow x=\frac{1}{20}$.