ABC26GN2333 · Percentage

Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:

If $x \%$ of $y$ is equal to $z$, what percent of $z$ is $x$ ?
(a)$\frac{y^{2}}{100}$
(b)$\frac{y}{100^{2}}$
(c)$\frac{100}{y}$
(d)$\frac{100^{2}}{y}$
Answer
Answer (as printed): D
Explanation
$x \%$ of $y=z \Rightarrow \frac{x}{100} y=z \Rightarrow \frac{x}{z}=\frac{100}{y}$. $$\begin{aligned} \therefore \text { Required percentage } & =\left(\frac{x}{z} \times 100\right) \% \\ & =\left(\frac{100}{y} \times 100\right) \%=\left(\frac{100^{2}}{y}\right) \% . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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