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The cost of a jacket increased from $70.00 to $82.60. What is the percentage increase of the cost of the jacket?

User Nathanjw
by
3.7k points

2 Answers

2 votes

Answer:

18%

Explanation:

Increase: 12.6

12.60/70 = 0.18

Your answer: 15.26%

User Alfwed
by
3.3k points
6 votes

Answer:

18%

Explanation:

Say that the percent increase was x%. So, we can write this problem as:

70 + x% * 70 = 82.60

Remember that % means "out of 100", so x% is actually the same as x/100. We can then replace x% with x/100:

70 + (x/100) * 70 = 82.60

Both terms on the left side have 70, so we can factor that common number out:

70 * (1 + (x/100)) = 82.60

Divide both sides by 70:

1 + x/100 = 82.60/70 = 1.18

Subtract 1 from both sides:

x/100 = 0.18

Multiply by 100:

x = 18

Thus, the percent increase is 18%.

Hope this helps!

User Nathan Doromal
by
3.5k points