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niketdoshi123 Really wants to Beat The GMAT!
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Percentage!! Fri Apr 27, 2012 12:29 am
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• Lap #[LAPCOUNT] ([LAPTIME])
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

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Anurag@Gurome GMAT Instructor
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Fri Apr 27, 2012 12:31 am
niketdoshi123 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
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.

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ronnie1985 GMAT Destroyer!
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Fri Apr 27, 2012 10:45 am
If 100 is the rent collected in 1997.
1998: 100+x
1999: (100+x)*(1-y/100) = 100-y+x-xy/100
Q. x-y-xy/100>0?

S1. x>y.
Cant ascertain the sign of x-y-xy/100

S2. xy/100 < x-y
Sufficient

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