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

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Bunuel
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The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   07 Nov 2019, 01:48
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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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A
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nick1816
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   07 Nov 2019, 07:15
x:y=6:5
y:z=6:5
w:x=4:5

x:y:z:w= 5*6*6 : 5*5*6 : 5*5*5 : 4*6*6= 180:150:125:144

\(\frac{w-z}{z}*100\)= \(\frac{144-125}{125}*100\)= 15.2%

Bunuel 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%

Are You Up For the Challenge: 700 Level Questions
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BrentGMATPrepNow
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   07 Nov 2019, 08:20
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Bunuel 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%


Let's test values that satisfy the given information.

y is 20 percent greater than z
Let's say y = 120 and z = 100

x is 20 percent greater than y
So, x is 20 percent greater than 120
In other words, x = (1.2)(120) = 144

w is 20 percent less than x
So, w is 20 percent less than 144
20% of 144 = 28.8
So, w = 144 - 28.8 = 115.2

What percent greater than z is w ?
In other words, 115.2 is what percent greater than 100 ?
Answer = 15.2% = A

Cheers,
Brent
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   07 Nov 2019, 08:39
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Bunuel 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%

Are You Up For the Challenge: 700 Level Questions


Given: 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.

Asked: What percent greater than z is w ?

x = 1.2y
y = 1.2z
w = .8x

w = .8x = .8 * 1.2 * 1.2z
w = 1.152z

w is 15.2% greater than z.

IMO A
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   07 Nov 2019, 09:44
Bunuel 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%

Are You Up For the Challenge: 700 Level Questions


x=1.2y
y=1.2z
w=.8x
w=.96y
z=y/1.2
w/z = .96*1.2 ; 1.152 = 15.2 %
IMO A
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   18 Apr 2022, 03:04
Hi all, this might be a silly question but can anyone help explain how is 1.152 become 15% as either divide or multiply didn't equal 15%? Thanks
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Aravind04
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   22 Apr 2022, 06:35
Please correct me where I am going wrong


x=5/4 Y & Y=5/4 Z
w=4/5X ==> x=5/4(w)
hence Z= 4/5(Y) ==> Z==>4/5(4/5(X))
Z==> 4/5(4/5(5/4(w)))
Z=4/5(w)
==> w=5/4(Z) ==> 1.2(z)
hence w is 20% more of Z
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink] New post   27 Sep 2023, 07:57
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Re: The positive numbers w, x, y, and z are such that x is 20 percent grea [#permalink]
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