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# Data Sufficiency

Author Message
Intern
Joined: 30 Nov 2012
Posts: 8
Followers: 1

Kudos [?]: 3 [2] , given: 4

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01 Dec 2012, 00:42
2
KUDOS
Help me:
The annual rent collected by corporation from a certain building was x percent more in 1998 than in 1997 & 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 greater than y
2)xy/100 less than x-y
Moderator
Joined: 02 Jul 2012
Posts: 1230
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 110

Kudos [?]: 1252 [2] , given: 116

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01 Dec 2012, 05:01
2
KUDOS
bm07biswas wrote:
Help me:
The annual rent collected by corporation from a certain building was x percent more in 1998 than in 1997 & 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 greater than y
2)xy/100 less than x-y

$$R_8 = (1 + \frac{x}{100})R_7$$

$$R_9 = (1 - \frac{x}{100})R_8 = (1 +\frac{x}{100})(1 - \frac{y}{100})R_7$$

$$R_9 = (1 + \frac{x}{100} - \frac{y}{100} - \frac{xy}{10000})R_7$$

Is $$(1 + \frac{x}{100} - \frac{y}{100} - \frac{xy}{10000}) > 1$$

or Is $$x - y > \frac{xy}{100}$$

1) Clearly Insufficient. x = 150, y = 149. Answer is no. x = 2, y = 1. Answer is yes

2) Sufficient. Gives the direct answer.

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Re: Data Sufficiency   [#permalink] 01 Dec 2012, 05:01
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