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# The annual rent collected by a corporation from a certain

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Manager
Joined: 03 Oct 2008
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The annual rent collected by a corporation from a certain [#permalink]

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07 Oct 2008, 13:32
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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) xy/100 < x – y

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Senior Manager
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07 Oct 2008, 22:13
B.
Question stem says:
1997: a (a- constant amount of rent)
1998: (1+x/100)*a
1999: (1+x/100)*(1-y/100)*a = [1+ (x-y)/100 - xy/100^2]*a

st1) x>y then 1999 rent can be, depending on values of X and Y, less (ex: x=3 y=2) or more ( ex: x=70 y=60) than a. INSUFF.

st2) clearly says (x-y)/100 > xy/100^2. Suff.
Re: math---rent   [#permalink] 07 Oct 2008, 22:13
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