Question 9 (nov.17th)

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bacali: Master | Next Rank: 500 Posts; Posts: 245; Joined: Thu Aug 16, 2007 12:41 pm

by bacali » Mon Nov 17, 2008 1:06 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) 100xy < x – y

OA: B

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Source: Beat The GMAT — Problem Solving | Mon Nov 17, 2008 1:06 pm

lachlanc: Senior | Next Rank: 100 Posts; Posts: 46; Joined: Mon Jul 07, 2008 12:10 pmFollowed by: 1 member; Location: Atlanta; Thanked: 5 times

by lachlanc » Mon Nov 17, 2008 2:08 pm

Are you sure statement II is copied correctly? I think the question would make more sense if it was xy/100 < x - y

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rtfact: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Tue Sep 16, 2008 9:44 am

by rtfact » Mon Nov 17, 2008 5:06 pm

Statement 1 does not help much. Suppose there was an increase by 1/2 and then a decrease by a 1/3 -> the rent would not change. So if the increase would have been a bit smaller - 1/3-0.0001 then the rent in 99 would be higher than in 97, and if the increase would have been a bit higher- 1/3+0.0001 then the rent in 99 would be lower than in 97.

we have to determine whether
r<r(100+x)(100-y)/100*100=r(1+(x-y)100-xy/100*100)
or
0<(x-y)100-xy/100*100

while remembering that x,y>0
from statement 2 we can conclude that 0<xy-xy/100*100 is true. hence B.

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4meonly: Legendary Member; Posts: 891; Joined: Sat Aug 16, 2008 4:21 amFollowed by: 1 member; Thanked: 27 times; GMAT Score:660(

by 4meonly » Sun Nov 23, 2008 3:37 am

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) 100xy < x – y

Can anybody confirm that statement 2 is correct?
Otherwise I do not understand rtfact's solution

rtfact wrote:Statement 1 does not help much. Suppose there was an increase by 1/2 and then a decrease by a 1/3 -> the rent would not change. So if the increase would have been a bit smaller - 1/3-0.0001 then the rent in 99 would be higher than in 97, and if the increase would have been a bit higher- 1/3+0.0001 then the rent in 99 would be lower than in 97.
we have to determine whether
r<r(100+x)(100-y)/100*100=r(1????+(x-y)100-xy/100*100)
or
0<(x-y)100-xy/100*100
while remembering that x,y>0
from statement 2 we can conclude that 0<xy-xy/100*100 is true. hence B.

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xyzabc123: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Wed Nov 19, 2008 8:35 pm; Thanked: 1 times

by xyzabc123 » Sun Nov 23, 2008 8:54 pm

I think (2) should be xy < 100(x-y)

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