If x is 80% of y, then what percent of 2 x is y ? · ABC26GN2334
Subject: General Aptitude · Chapter: Percentage
If $x$ is 80\% of $y$, then what percent of $2 x$ is $y$ ?
(a)40\%
(b)$62 \frac{1}{2} \%$
(c)$66 \frac{2}{3} \%$
(d)80\%
Answer
Explanation
$x=80 \%$ of $y \Rightarrow x=\frac{80}{100} y \Leftrightarrow \frac{y}{x}=\frac{5}{4} \Leftrightarrow \frac{y}{2 x}=\frac{5}{8}$. $$\begin{aligned} \therefore \text { Required percentage } & =\left(\frac{y}{2 x} \times 100\right) \% \\ & =\left(\frac{5}{8} \times 100\right) \%=62 \frac{1}{2} \% . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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