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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] New post 22 Aug 2006, 09:58
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A
B
C
D
E

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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

Hi pls explain your answer thanks
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 [#permalink] New post 22 Aug 2006, 10:54
1997 1998 1999
100 100+x 100+x-y - (xy /100)
compare 100 and 100 + x -y -xy/100


(1) x > y
(2) (xy)/100 < x – y


1) x>y so in 1999 is 100 + (+ve value) - xy/100. INSUFF
2) but we do not know if x>y INSUFF

Combined SUFF

so C?
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 [#permalink] New post 22 Aug 2006, 11:12
gk3.14 wrote:
1997 1998 1999
100 100+x 100+x-y - (xy /100)
compare 100 and 100 + x -y -xy/100


(1) x > y
(2) (xy)/100 < x – y


1) x>y so in 1999 is 100 + (+ve value) - xy/100. INSUFF
2) but we do not know if x>y INSUFF

Combined SUFF

so C?

x and y are both positive percentages. Thus from (2), x -y -xy/100 should be positive. Hence the rent increased.
Answer should be (B).
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 [#permalink] New post 22 Aug 2006, 11:30
1) Say x=20%; y=10%; then
(1999 rent) = 0.9 x 1.2 (1997 rent) = 1.08 (1997 rent) => Rent in '99 is more than rent in '97

Say x=50%; y=40%; then
(1999 rent) = 1.5 x 0.6 (1997 rent) = 0.90 (1997 rent) => Rent in '99 is less than rent in '97.

Hence not sufficient.

2) x-y > (xy)/100

Now, (1999 rent) = (1 + x/100)(1 - y/100) (1997 rent)
=> (1999 rent) = [1 + x/100 - y/100 - (xy)/10000](1997 rent)
=> (1999 rent) = [1 + 1/100{(x - y) - (xy)/100}](1997 rent)

Hence (1999 rent) = [1 + (some +ve value)](1997 rent)
Sufficient.

Answer is B.
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 [#permalink] New post 22 Aug 2006, 20:49
Hi guys OA is B thanks for the help
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 [#permalink] New post 22 Aug 2006, 22:46
Straight B without calculations.
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 [#permalink] New post 22 Aug 2006, 22:50
Hi PS_dahiya

Pls explain

thanks
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 [#permalink] New post 22 Aug 2006, 23:07
apollo168 wrote:
Hi PS_dahiya

Pls explain

thanks

I mean to say paper calculations. I calculated in my mind. :wink: :wink:
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 [#permalink] New post 22 Aug 2006, 23:12
Oh haha :-D
  [#permalink] 22 Aug 2006, 23:12
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