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Percentage!!

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niketdoshi123 Really wants to Beat The GMAT!
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Percentage!! Post 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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    Post 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.

    The correct answer is B.

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    ronnie1985 GMAT Destroyer!
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    Post 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

    (B) is answer

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