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# The annual rent collected by a corporation from a certain

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The annual rent collected by a corporation from a certain [#permalink]

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19 Jan 2008, 06:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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19 Jan 2008, 06:54
B

1997: $$r$$

1998: $$r*(\frac{100+x}{100})$$

1999: $$r*(\frac{100+x}{100})*(\frac{100-y}{100})=r*[1+\frac{(x-y)-\frac{xy}{100}}{100}]$$

1. x>y
insuff.

2. $$r*[1+\frac{(x-y)-\frac{xy}{100}}{100}]>r*[1+\frac{(x-y)-(x-y)}{100}]=1$$
suff.
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Re: 3 variables algebra   [#permalink] 19 Jan 2008, 06:54
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