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Positive integer y is 50 percent of 50 percent of positive

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Positive integer y is 50 percent of 50 percent of positive [#permalink]

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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

GMAT Official Guide 12

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
[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.
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Re: Positive integer y is 50 percent of 50 percent of positive [#permalink]

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New post 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 \(x=200\).

Answer: C.
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Re: Positive integer y is 50 percent of 50 percent of positive [#permalink]

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New post 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

GMAT Official Guide 12

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
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: Positive integer y is 50 percent of 50 percent of positive   [#permalink] 06 Feb 2018, 05:19
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