Increasing $100 by a certain percent produces the same result as decreasing $300 by the same percent.
What is this percent?
100(1+x) = 300(1-x)
solve for x
(hope you get x = .5, so 50%)
To find the percent, let's break down the problem and set up an equation.
Let's assume the percent is represented by "x".
When you increase $100 by a certain percent, the amount becomes $100 + ($100 * x/100) = $100 + $x.
Similarly, when you decrease $300 by the same percent, the amount becomes $300 - ($300 * x/100) = $300 - $3x.
According to the problem, these two amounts are equal, so we can set up the equation:
$100 + $x = $300 - $3x.
We can simplify the equation by combining like terms:
$x + $3x = $300 - $100.
$4x = $200.
To find the value of "x," we need to isolate it on one side of the equation. We can divide both sides of the equation by 4:
$x = $200 / 4.
$x = $50.
Therefore, the percent is 50%.