ordewayaeroge9sqy

2023-02-21

$x\%$ of $y$ is $y\%$ of ?

davz198888za

Beginner2023-02-22Added 9 answers

Explanation:

Let us consider that,

$x\%$ of $y$ is equal to $y\%$ of $m$.

After,

$\Rightarrow x\%\mathrm{of}y=y\%\mathrm{of}m\Rightarrow \frac{x}{100}\times y=\frac{y}{100}\times m\Rightarrow x\times y=y\times m\Rightarrow m=\frac{xy}{y}\therefore m=x$

Therefore, $x\%$ of $y$ is equal to $y\%$ of $x$.

Let us consider that,

$x\%$ of $y$ is equal to $y\%$ of $m$.

After,

$\Rightarrow x\%\mathrm{of}y=y\%\mathrm{of}m\Rightarrow \frac{x}{100}\times y=\frac{y}{100}\times m\Rightarrow x\times y=y\times m\Rightarrow m=\frac{xy}{y}\therefore m=x$

Therefore, $x\%$ of $y$ is equal to $y\%$ of $x$.