Question

The sum of two numbers is $4000$. If $15\%$ of one is equal to $25\%$ of the other, find the numbers.

Answer 1

Let one number be $x$,

then, other number $=(4000-x)$

$ATQ,$

$15\%$ of $x=25\%$ of $(4000-x)$

$\Rightarrow \frac{15}{100}\times x=\frac{25}{100}(4000-x)$

$\Rightarrow 15x=100000-25x$

$\Rightarrow 15x+25x=100000$

$\Rightarrow 40x=100000$

$\Rightarrow x=\frac{100000}{40}$

$\Rightarrow x=2500$

Other number$=4000-x$

$=4000-2500$

$=1500$

Hence, the numbers are $2500$ and $1500$