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DS: percentage increase/decrease

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Manager
Joined: 22 Feb 2006
Posts: 96

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25 Aug 2009, 16:39
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Q29:
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
Joined: 23 Jun 2009
Posts: 361
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago

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26 Aug 2009, 04:48
1
KUDOS
1997=100
1998=100+x
1999=(100+x)*(100-y)/100
does 1999>1997?
i.e.
does
(100+x)*(100-y)/100>100
10000+100x-100y-xy>10000
100x-100y-xy>0
100x>100y+xy
So
I)x>y is INSUFF, because we don't know how much bigger. Does x bigger than y that offsets xy/100? i.e.
x=%30, y=%25
1998=%130
1999=%87,5
x=%30, y=%10
1998=%130
1999=%117
II)SUFF
xy/100<x-y
xy<100x-100y
xy+100y<100x
this is our inequality.
Senior Manager
Joined: 18 Aug 2009
Posts: 424
Schools: UT at Austin, Indiana State University, UC at Berkeley
WE 1: 5.5
WE 2: 5.5
WE 3: 6.0

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26 Aug 2009, 04:49
Need explanation for the question as well. Thanks
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Intern
Joined: 18 Aug 2009
Posts: 8

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26 Aug 2009, 23:28
Can this be solved by assuming values?
Manager
Joined: 10 Jul 2009
Posts: 127
Location: Ukraine, Kyiv

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20 Sep 2009, 05:43
I think maliyeci's way is the best one to approach this.
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Manager
Joined: 15 Sep 2009
Posts: 135

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20 Sep 2009, 07:59
I wud go with option B.

statement ii alone is suff.
Re: DS: percentage increase/decrease   [#permalink] 20 Sep 2009, 07:59
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