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# Positive integer y is 50 percent of 50 percent of positive

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Joined: 27 Feb 2010
Posts: 103
Location: Denver
Positive integer y is 50 percent of 50 percent of positive [#permalink]

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Updated on: 27 Apr 2010, 16:29
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79% (01:15) correct 21% (01:28) wrong based on 512 sessions

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Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ?

A) 50
B) 100
C) 200
D) 1000
E) 2000

Official Guide 12 Question

 Question: 12 Page: 22 Difficulty: 700

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Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/positive-int ... 35189.html
[Reveal] Spoiler: OA

Originally posted by zz0vlb on 27 Apr 2010, 16:01.
Last edited by zz0vlb on 27 Apr 2010, 16:29, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 45180
Re: Positive integer y is 50 percent of 50 percent of positive [#permalink]

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27 Apr 2010, 16:10
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zz0vlb wrote:
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ?

A. 50
B. 100
C. 200
D. 1000
E. 2000

\sqrt{C - OG12}

I already solved it. Posting this for others who needs practice.

Given: $$x>0$$ and $$y>0$$.
"Positive integer y is 50 percent of 50 percent of positive integer x" --> $$y=0.5*(0.5x)=0.25x$$
"y percent of x equals 100" --> $$\frac{y}{100}*x=100$$ --> $$xy=100*100$$ --> substitute $$y$$ --> $$x^2=4*100*100$$ --> as $$x>0$$, only one solution $$x=200$$.

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Joined: 02 Sep 2009
Posts: 45180
Re: Positive integer y is 50 percent of 50 percent of positive [#permalink]

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06 Feb 2018, 05:19
zz0vlb wrote:
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ?

A) 50
B) 100
C) 200
D) 1000
E) 2000

Official Guide 12 Question

 Question: 12 Page: 22 Difficulty: 700

Find All Official Guide Questions

Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/positive-int ... 35189.html
_________________
Re: Positive integer y is 50 percent of 50 percent of positive   [#permalink] 06 Feb 2018, 05:19
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