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

1 Answer
Suren Abreu
Jan 4, 2017

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#

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