Question:
Tick (✓) the correct answer:
x% of y is y% of?
(a) x
(b) 100x
(c) $\frac{x}{100}$
(d) $\frac{y}{100}$
Solution:
(a) x
Let the required number be $z$. Then, we have:
$x \%$ of $y=y \%$ of $z$
$\Rightarrow\left(y \times \frac{x}{100}\right)=\left(z \times \frac{y}{100}\right)$
$\Rightarrow \frac{y x}{100}=\frac{z y}{100}$
$\Rightarrow z=\left(\frac{y x}{100} \times \frac{100}{y}\right)$
$\Rightarrow z=x$
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