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The positive numbers w, x, y, and z are such that x is 20 [#permalink]
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09 Oct 2008, 06:03
The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ? A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8% == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



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Re: mathpercent [#permalink]
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09 Oct 2008, 06:08
IMO A:
z = 100 y = 120 x = 140 w = 115.2
so w will be 15.2% of z



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Re: mathpercent [#permalink]
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09 Oct 2008, 07:36
albany09 wrote: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8% x  120 y and w  100 z  83.33 IMO C 20%
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Re: mathpercent [#permalink]
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09 Oct 2008, 12:29
w = 0.8 * 1.2 * 1.2 * z so w= 1.152 z so w = 0.152 * 100 % of z = 15.2 %.
Answer: A



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Re: mathpercent [#permalink]
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09 Oct 2008, 13:02
albany09 wrote: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8% 1200 = x , y = 1000 ,z = 5000/6 = 2500/3. = 833 w = 960 960  833 = 127 127/833*100 = 15.25% approx A is the answer



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Re: mathpercent [#permalink]
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09 Oct 2008, 13:18
albany09 wrote: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8% x = 1.2y  (1) y = 1.2z  (2) w = 0.8x  (3) Question: w = (1+p)z, find p w = 0.8*(1.2y)  (1) & (3)  (4) w = 0.8*(1.2)*(1.2)z  (4) & (2) w = (1.152)z w = (1 + 0.152)z p = 0.152 = 15.2% The answer is A.



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Re: mathpercent [#permalink]
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09 Oct 2008, 13:20
albany09 wrote: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8% answer is A z=1 y1.2 x=1.44 w=1.152 percent w i sgreater than z= .152/1*100=15.2%



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Re: mathpercent [#permalink]
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16 Oct 2008, 16:42
A w = 0.8 *1.2*1.2*z = 1.152z 15.2 % == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.




Re: mathpercent
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