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# Building

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Intern
Joined: 02 Jun 2009
Posts: 22

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02 Jun 2009, 03:48
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The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997?
(1) x > y
(2) 100xy < x – y

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Manager
Joined: 08 Feb 2009
Posts: 139
Schools: Anderson

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11 Jun 2009, 17:33

(1)
If x = 10%, y = 9.9%, then rent would be 99.11 in 1999 which is LESS than 100.
If x = 10%, y = 1%, then rent would be MORE than 100.

Therefore, INSUFFICIENT.

(2)
Simplifying the expression, we get:
$$100 \hspace{5} < \hspace{5} \frac{1}{y}\hspace{5}-\hspace{5}\frac{1}{x} \Rightarrow \hspace{5}$$ y is a decimal value && x may or may not be a decimal value.

I'm not sure how to proceed to conclude from this point.
But, I think this proves that rent collected was more in 1999 than in 1997, mainly because of the huge difference (100 or more) in values of reciprocals of x and y.

I would like to know the OA.
Senior Manager
Joined: 08 Jan 2009
Posts: 310

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11 Jun 2009, 18:35
1
We have discussed it before. The second cond is actually xy/100 y . not sufficient. u still dont xy/100

2. x - y > xy /100.
x - y - xy /100 > 0. so profit.

Sufficent.

hence B

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Building &nbs [#permalink] 11 Jun 2009, 18:35
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