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# x,y , and z are positive integers. Is x% of y bigger than y%

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Manager
Joined: 09 Oct 2008
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x,y , and z are positive integers. Is x% of y bigger than y% [#permalink]  11 Oct 2008, 07:40
x,y , and z are positive integers. Is x% of y bigger than y% of z ?

1: x=z

2: z-y =y-z

* Can we assume x=y=z for eqation 1..just one more case?
Thanks
VP
Joined: 30 Jun 2008
Posts: 1047
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Re: x,y and z are positive integers. [#permalink]  11 Oct 2008, 08:59
vishalgc wrote:
x,y , and z are positive integers. Is x% of y bigger than y% of z ?

1: x=z

2: z-y =y-z

* Can we assume x=y=z for eqation 1..just one more case?
Thanks

x % of y = xy/100
y% of z = yz/100

question is asking is (xy/100) > (yz/100) ?
or is xy > yz
we know x,y and z are +ve

so the question can be simplified to is x>z ?

(1) tells us x=z . that means x is not > z. So sufficient.
(2) no infor about x and z. Not suff.

P.S. I don't get your question reg x=y=z
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Manager
Joined: 10 Aug 2008
Posts: 76
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Re: x,y and z are positive integers. [#permalink]  11 Oct 2008, 09:17
1st statement

x = z , means question is asking for z% of y = y% of z, its always true!

2nd statement:- No conclusion

So Ans is A)
Manager
Joined: 09 Oct 2008
Posts: 93
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Re: x,y and z are positive integers. [#permalink]  11 Oct 2008, 09:43

but take x=10,y=10,z=10 (x=z , also x=y=z)

so 10% of 10 = 10% of 10 ... means x% of y is not bigger than y% of z .

x=10 y = 20 z =10

so 10% of 20 = 2 and 20% of 10 =2... x% of y is not bigger than y% of z .

A is sufficient..

I got my error.. sorry to trouble you guys...

will take care from next time

Thanks
Re: x,y and z are positive integers.   [#permalink] 11 Oct 2008, 09:43
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