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
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The number X is 200% of Y. The number Z increased by 200% is
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Let Z = 100.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 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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We can create the equations: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
X = 2Y
and
3Z = 0.5X
Substituting, we have:
3Z = 0.5(2Y)
3Z = Y
3 = Y/Z
Answer: D
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