OG #120

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fangtray: Master | Next Rank: 500 Posts; Posts: 273; Joined: Thu Sep 08, 2011 6:50 amFollowed by: 3 members; Thanked: 5 times

by fangtray » Sat Mar 17, 2012 9:42 pm

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

The hard part of this question is statement #2. What is a good strategy for this question?

sorry i'm not sure how to add the answer and black it out so i'll write the answer in a few posts.

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Source: Beat The GMAT — Data Sufficiency | Sat Mar 17, 2012 9:42 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Mar 18, 2012 4:34 am

fangtray wrote: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

The hard part of this question is statement #2. What is a good strategy for this question?

sorry i'm not sure how to add the answer and black it out so i'll write the answer in a few posts.

Let the rent collected in 1997 = R
Then rent collected in 1998 = R + Rx/100 = R(1 + x/100)
Rent collected in 1999 = R(1 + x/100) - y% of R(1 + x/100) = R(1 + x/100)(1 - y/100)

Question is: Is R(1 + x/100)(1 - y/100) > R? OR Is 1 + x/100 - y/100 - xy/10000 > 1? OR Is x - y > xy/100?

(1) x > y, which does not imply whether x - y > xy/100 or not; NOT sufficient.

(2) xy/100 < x - y is exactly what the question is asking for; SUFFICIENT.

The correct answer is B.

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fangtray: Master | Next Rank: 500 Posts; Posts: 273; Joined: Thu Sep 08, 2011 6:50 amFollowed by: 3 members; Thanked: 5 times

by fangtray » Sun Mar 25, 2012 1:02 am

Anurag@Gurome wrote:
fangtray wrote: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

The hard part of this question is statement #2. What is a good strategy for this question?

sorry i'm not sure how to add the answer and black it out so i'll write the answer in a few posts.
Let the rent collected in 1997 = R
Then rent collected in 1998 = R + Rx/100 = R(1 + x/100)
Rent collected in 1999 = R(1 + x/100) - y% of R(1 + x/100) = R(1 + x/100)(1 - y/100)

Question is: Is R(1 + x/100)(1 - y/100) > R? OR Is 1 + x/100 - y/100 - xy/10000 > 1? OR Is x - y > xy/100?

(1) x > y, which does not imply whether x - y > xy/100 or not; NOT sufficient.

(2) xy/100 < x - y is exactly what the question is asking for; SUFFICIENT.

The correct answer is B.

How did you get the rephrase for the question, and if you don't happen to see the rephrase that way, is there no other way to find the relevance of statement 2?

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sun Mar 25, 2012 2:24 am

I posted a solution here:

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