Question

Divide $4500$ into two parts such that $5\%$ of the first part is equal to $10\%$ of the second part ?

Answer 1

Suppose $x$ and $y$ are two divided parts of $4500.$

$x+y=4500\dots \dots \left(i\right)$

given

$5\%$ of $x=10\%$ of $y$

$\Rightarrow \frac{5x}{100}=\frac{10y}{100}$

$\Rightarrow 5x=10y$

$\Rightarrow x=2y$

Now, putting the value of $x$, in $eq.\left(i\right),$ we get

$2y+y=4500$

$\Rightarrow 3y=4500$

$\Rightarrow y=1500$

$\Rightarrow x=2y=2\times 1500=3000$

$\therefore x=3000$

Hence, $4500$ is been divided into two parts of $3000$ and $1500.$