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This question can be solved by TESTing VALUES. We have to pay very careful attention to the exact wording used (there's a difference between "200% of....." and "increased by 200%...").

First, we're told that X is 200% of Y.

IF.... Y = 100 X = 200

Next, we're told that if Z is INCREASED BY 200%, then Z is 50% of X.

Z + 2Z = (1/2)(X) 3Z = (1/2)(200) 3Z = 100 Z = 100/3

Re: The number X is 200% of Y. The number Z increased by 200% is [#permalink]

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02 Feb 2015, 12:36

Thanks a ton Rich, that was really helpful...difference between 200% of...and increased by 200% was crucial here...

EMPOWERgmatRichC wrote:

Hi All,

This question can be solved by TESTing VALUES. We have to pay very careful attention to the exact wording used (there's a difference between "200% of....." and "increased by 200%...").

First, we're told that X is 200% of Y.

IF.... Y = 100 X = 200

Next, we're told that if Z is INCREASED BY 200%, then Z is 50% of X.

Z + 2Z = (1/2)(X) 3Z = (1/2)(200) 3Z = 100 Z = 100/3

Re: The number X is 200% of Y. The number Z increased by 200% is [#permalink]

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09 May 2016, 19:10

JJ2014 wrote:

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%

I'm confused on when to use algebra to solve this and when to substitute..

x=2y the confusion is when we have Z increased by 200% that means Z + 200% of z, which is 2z so we have 3z=0.5x multiply by 2 6z=x 6z=2y 3z=y y is 300% of z.

Re: The number X is 200% of Y. The number Z increased by 200% is [#permalink]

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