# Jack bought a TV for $200, which he later sold for$175. How do you find the percent of change in the price of the TV?

Jan 9, 2017

See process for finding the percent change below.

#### Explanation:

The formula for find the change in value over time is:

$p = \frac{N - O}{O} \cdot 100$

Where:

$p$ = percent change in value - what we are solving for
$N$ = the New Value - $175 for this problem $O$is the Old Value -$200 for this problem

Substituting the New Value and Old Value into the formula gives:

$p = \left(175 - 200\right) 200 \cdot 100$

$p = - \frac{25}{200} \cdot 100$

$p = - \frac{2500}{200}$

$p = - 12.5$

There was a -12.5% change in the price or a 12.5% reduction.

Jan 9, 2017

The percent change is -12.5%, which is a percent decrease.

#### Explanation:

The percent of change is determined by subtracting the first price from the second price, then dividing by the first price times 100.

Difference

($175-200)=(-$25)

Percent change

(-$25)/($200)xx100=-12.5%