Divide 4500 into two parts such that 5%

Let the first part be $\mathrm{x}$.

Let the second part be $(4500-\mathrm{x})$.

$\therefore 5 \%$ of $x=10 \%$ of $(4500-x)$

$\Rightarrow\left(\frac{5}{100}\right) x=\left(\frac{10}{100}\right)(4500-x)$

$\Rightarrow \frac{5 x}{100}=\frac{45000-10 x}{100}$

$\Rightarrow 5 x=45000-10 x \quad$ (by cancellation of same denominators from both the sides)

$\Rightarrow 5 x+10 x=45000$

$\Rightarrow 15 x=45000$

$\Rightarrow x=\frac{45000}{15}=3000$

Therefore, the first part is $3000 .$

Second part $=(4500-x)=(4500-3000)=1500$