Question

Find the number whose $12\frac{1}{2}$% is $64$

Answer 1

Let $x$ be number whose $12\frac{1}{2}\%$ is $64$.

Therefore,

$x\times 12\frac{1}{2}\%=64$

$\Rightarrow x\times \frac{25}{2}\times \frac{1}{100}=64$

$\Rightarrow x\times \frac{1}{2}\times \frac{1}{4}=64$

$\Rightarrow x\times \frac{1}{8}=64$

$\Rightarrow x=64\times 8$

$\Rightarrow x=512$

Hence, $12\frac{1}{2}\%$ of $512$ is $64$.