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# If x and y are positive integers, is x% of y > y?

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If x and y are positive integers, is x% of y > y? [#permalink]
BrentGMATPrepNow wrote:
If x and y are positive integers, is x% of y > y?

(1) x > 99
(2) x < 101

The question in algebra would be "is $$x\%*y > y$$?" Since we know y is positive we can chop off y on both sides and change the question to "is $$x\% > 1$$?", and multiply both sides by 100 to change the question to " is x > 100?"

Statement 1:

x must be at least 100, if x = 100 then x is not greater than 100. If x > 100 then x is greater than 100. Insufficient.

Statement 2:

x must be at most 100. If x = 100 then x is not greater than 100. If x < 100 then x is still not greater than 100. Therefore this is sufficient.

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Re: If x and y are positive integers, is x% of y > y? [#permalink]
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Re: If x and y are positive integers, is x% of y > y? [#permalink]
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