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The number X is 200% of Y. The number Z increased by 200% is

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by GMATGuruNY » Fri Oct 25, 2019 4:05 am
BTGmoderatorLU wrote:Source: Veritas Prep

The number X is 200% of Y. The number Z increased by 200% is 50% of X. What percentage of Z is Y?

A. 33.3%
B. 100%
C. 200%
D. 300%
E. 333
Let Z = 100.

The number Z increased by 200% is 50% of X.
Z increased by 200% = 100 + (200/100)(100) = 300.
Since this result is 50% of X, we get:
X = 600

The number X is 200% of Y.
Since X=600 is twice the value of Y, we get:
Y = 300

What percentage of Z is Y?
Y/Z * 100 = (300/100) * 100 = 300

The correct answer is D.
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by Scott@TargetTestPrep » Tue Oct 29, 2019 6:41 pm
BTGmoderatorLU wrote:Source: Veritas Prep

The number X is 200% of Y. The number Z increased by 200% is 50% of X. What percentage of Z is Y?

A. 33.3%
B. 100%
C. 200%
D. 300%
E. 333%

The OA is D
We can create the equations:

X = 2Y

and

3Z = 0.5X

Substituting, we have:

3Z = 0.5(2Y)

3Z = Y

3 = Y/Z

Answer: D

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