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Problem Solving (PS) | Re: Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

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Bunuel wrote:

Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?

A. 96%
B. 50%
C. 45%
D. 40%
E. 24%



We can create the equations:

Z = 1.2Y

and

X = 0.2Z

X/0.2 = Z

Thus:

X/0.2 = 1.2Y

X = 0.24Y

X/Y = 0.24

X/Y * 100 = 0.24 * 100 = 24 percent

Answer: E

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