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Data Sufficiency

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Data Sufficiency [#permalink] New post 01 Dec 2012, 00:42
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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
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Posts: 753
Location: India
Concentration: Strategy
Schools: Ross '16, McCombs '16, Kenan-Flagler '16, McDonough '16, Boston U '16, Jones '16, Olin '16
GMAT 1: 740 Q49 V42
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WE: Engineering (Energy and Utilities)
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Re: Data Sufficiency [#permalink] New post 01 Dec 2012, 05:01
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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

So, question is basically asking:

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.

Answer should be B.
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Re: Data Sufficiency   [#permalink] 01 Dec 2012, 05:01
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