Chani B.

asked • 09/13/15

How to get the true change of percentage values

State whether the following statement is true or false. If false, state the true change.

If the profits in your consulting business increase by 6% one year and decrease by by 2% the following year, your profits are up by 4% over two years.

I know this statement is false but I am having trouble calculating the true change.

My professor gave us the formula:
New profits value=(100+P)% x (100-Q)% x original profits value.

I tried asking my professor for help, but he only told me the original profits value does not enter in since they ask for your profits over two years. When I tried to plug it all in, I got an outrageously large number and even when I tried to enter it into the homework it told me it was wrong.

The answer should be a percent.

1 Expert Answer

By:

Mark M. answered • 09/13/15

Tutor
5.0 (278)

Mathematics Teacher - NCLB Highly Qualified

Chani B.

Where did you get the 1.06 and 0.98 from?
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09/13/15

Mark M.

For an increase of 6%, it is the original amount (100%) plus 6%, that equals 106% of 1.06.
A decrease of 2% means that 98%, or 0.98, remains.
 
OK?
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09/13/15

Chani B.

Oh I got it! Ok one more question, why do you take the 1 out of 1.0388? I know that's how you know what the precent is but why do you just ignore it?
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09/13/15

Mark M.

Great!
The problem asks for the % increase. The "1" is what was at the beginning. The ".0388" is the increase.
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09/13/15

Chani B.

Ohhhhh!! Ok I get it! Thank you so much!!
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09/13/15

Mark M.

You are welcome, so much!
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09/13/15

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