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# The positive numbers w, x, y, and z are such that x is 20

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Manager
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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
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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%

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Manager
Joined: 22 Sep 2008
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09 Oct 2008, 06:08
1
KUDOS
IMO A:

z = 100
y = 120
x = 140
w = 115.2

so w will be 15.2% of z

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Senior Manager
Joined: 04 Aug 2008
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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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Intern
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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 %.

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SVP
Joined: 05 Jul 2006
Posts: 1751

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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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Senior Manager
Joined: 04 Jan 2006
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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%

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Manager
Joined: 15 Apr 2008
Posts: 164

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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%

z=1
y-1.2
x=1.44
w=1.152

percent w i sgreater than z= .152/1*100=15.2%

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Senior Manager
Joined: 21 Apr 2008
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Location: Motortown

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16 Oct 2008, 16:42
A

w = 0.8 *1.2*1.2*z = 1.152z

15.2 %

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Re: math---percent   [#permalink] 16 Oct 2008, 16:42
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