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Is X percent of Y more than Z percent of W?

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Is X percent of Y more than Z percent of W?  [#permalink]

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New post 27 Aug 2014, 06:43
3
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A
B
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D
E

Difficulty:

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Question Stats:

58% (02:18) correct 42% (02:11) wrong based on 195 sessions

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Is X percent of Y more than Z percent of W?

(1) X percent of Z is one half of Y percent of W.
(2) X=Y and 2·Z=W
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 27 Aug 2014, 07:10
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Is X percent of Y more than Z percent of W?

Is x/100*y > z/100*w ? --> is xy > zw ?

(1) X percent of Z is one half of Y percent of W --> x/100*z = 1/2*y/100*w --> 2xz = yw. If x = y = z = 1 and w = 2, then the answer is NO but if x = y = 10, z = 1 and w = 2, then the answer is YES. Not sufficient.

(2) X=Y and 2·Z=W --> multiply these two: 2xz = yw. The same info as above. Not sufficient.

(1)+(2) We have same insufficient statements. Not sufficient.

Answer: E.
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 22 Feb 2018, 04:23
I do not agree!
In case we have x/100*y > z/100*w then the question is wether x/y > z/w
First statement is clearly insufficient, but the seond one is not:

(2) X=Y and 2·Z=W that means x/y=1 and Z/W=1/2, so 1 > 1/2, which is true and that is sufficient.

Please correct me, if i am wrong.

Thank you!
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 22 Feb 2018, 05:11
HERmachine wrote:
I do not agree!
In case we have x/100*y > z/100*w then the question is wether x/y > z/w
First statement is clearly insufficient, but the seond one is not:

(2) X=Y and 2·Z=W that means x/y=1 and Z/W=1/2, so 1 > 1/2, which is true and that is sufficient.

Please correct me, if i am wrong.

Thank you!


x/100*y > z/100*w does not translate to x/y > z/w. It translates to xy > zw.
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 22 Feb 2018, 05:36
Bunuel wrote:
HERmachine wrote:
I do not agree!
In case we have x/100*y > z/100*w then the question is wether x/y > z/w
First statement is clearly insufficient, but the seond one is not:

(2) X=Y and 2·Z=W that means x/y=1 and Z/W=1/2, so 1 > 1/2, which is true and that is sufficient.

Please correct me, if i am wrong.

Thank you!


x/100*y > z/100*w does not translate to x/y > z/w. It translates to xy > zw.


Oook, let's do not not tranlate it at all. So we have (1/100)*(x/y) > (1/100)*(z/w), which is eventually 1/100 > 1/200. Same thing actually :)
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 22 Feb 2018, 05:42
HERmachine wrote:
Bunuel wrote:
HERmachine wrote:
I do not agree!
In case we have x/100*y > z/100*w then the question is wether x/y > z/w
First statement is clearly insufficient, but the seond one is not:

(2) X=Y and 2·Z=W that means x/y=1 and Z/W=1/2, so 1 > 1/2, which is true and that is sufficient.

Please correct me, if i am wrong.

Thank you!


x/100*y > z/100*w does not translate to x/y > z/w. It translates to xy > zw.


Oook, let's do not not tranlate it at all. So we have (1/100)*(x/y) > (1/100)*(z/w), which is eventually 1/100 > 1/200. Same thing actually :)


You are missing the point.

The question asks whether \(\frac{x}{100}*y > \frac{z}{100}*w\) NOT whether \(\frac{x}{100*y} > \frac{z}{100*w}\)
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 22 Feb 2018, 05:44
Ok, now its clear, thank you!
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Re: Is X percent of Y more than Z percent of W?  [#permalink]

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New post 23 Feb 2018, 01:18
goodyear2013 wrote:
Is X percent of Y more than Z percent of W?

(1) X percent of Z is one half of Y percent of W.
(2) X=Y and 2·Z=W

IMO E y*x/100>w*z/100
=xy> wz prove
A zx/100 > wy/100
2zx=wy still we can't prove anything
B no information where we can use these values
C combining both tell us about z=1 but this doesn't show any relation between others.
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Re: Is X percent of Y more than Z percent of W?   [#permalink] 23 Feb 2018, 01:18
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