Question

An item that was `$1,525` is now `$1,708`. What was the percent change?

Answer 1

The percent increase in price was `12%`.

Explanation:

We first determine the difference in price as

`1708-1525=183`

To determine the percent change, we write:

`1525xxx/100=183`

Reduce the left side by dividing the numerator and denominator by `5` progressively.

`305cancel1525xxx/(20cancel100)=183`

`61cancel305xxx/(4cancel20)=183`

Divide both sides by `61`.

`x/4=183/61`

`x/4=(3xx61)/61`

`x/4=3xxcancel61/cancel61`

`x/4=3`

Multiply both sides by `4`.

`x=12`