MGMAT Fractions,Decimals&Percents (VARIABLES) (5 Questio

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These are the questions which I am unable to understand (involving variables):



Express your answer in terms of the variables given (X, Y, and possibly Z).

1. What number is X percent of Y?

2. X is what percent of Y?

3. What number is X% greater than Y?

4. X is what percent greater than Y?

5. X is what percent greater than Y percent of Z?


I need a detailed explanation. Thanks.
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by Anurag@Gurome » Tue Feb 22, 2011 9:28 pm
Let us take the number as N.

1. What number is X percent of Y?

N = X% of Y = (X/100)*Y = (XY)/100

2. X is what percent of Y?

X = N% of Y implies X = NY/100 or N = 100X/Y

3. What number is X% greater than Y?

N = X% + Y = (X/100) + Y

4. X is what percent greater than Y?

X = N% + Y or X = N/100 + Y or N = 100(X - Y)

5. X is what percent greater than Y percent of Z?

X = N% + Y% of Z = N/100 + (Y/100)Z = (N + YZ)/100
or N = 100X - YZ
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by beyondenim1 » Tue Feb 22, 2011 9:52 pm
that was fast. Thanks!

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by hja379 » Wed Feb 23, 2011 6:41 am
beyondenim1 wrote:These are the questions which I am unable to understand (involving variables):



Express your answer in terms of the variables given (X, Y, and possibly Z).

1. What number is X percent of Y?

2. X is what percent of Y?

3. What number is X% greater than Y?

4. X is what percent greater than Y?

5. X is what percent greater than Y percent of Z?


I need a detailed explanation. Thanks.
I've practiced these so many times... still seem to elude me.
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