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The annual rent collected by a corporation from a certain

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Director
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The annual rent collected by a corporation from a certain [#permalink] New post 24 Sep 2004, 08:07
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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
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 [#permalink] New post 24 Sep 2004, 11:26
I believe it is B.

a) try with x = 20 and y = 18
and x = 20 and y = 15
Infsufficient

B)
r8 = (1+x/100)r7
r9 = (1-y/100)r8
r9/r7 = (1+x/100)*(1-y/100)

r9/r7 = 1 + 1/100 [ (x-y) - xy/100 ]
since (x-y) > xy/100

we know that r9 > r7
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 [#permalink] New post 24 Sep 2004, 14:36
Thanks Anand!! Brilliant man!! You must be IIT/engineering graduate I guess!!
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 [#permalink] New post 24 Sep 2004, 14:49
Great calculation !

I would like to know why we are obliged to consider a 100 in answers except there is one in the statements...

I mean we know from the general stem than both x and y are in % so why do we have to write x/100 in place of x ??
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 [#permalink] New post 24 Sep 2004, 18:18
Thanks folks.

When we say interest rate is 10% we write the equation for sum
as P(1+20/100) where P is the principle.

We cannot write the same as P(1+20) which would be wrong.

When I was trying to solve this problem I quickly realized my mistake and substituted
P(1+x/100) instead of P(1+x)


Anand.
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 [#permalink] New post 24 Sep 2004, 21:38
1997 - M
1998 - (100+x)/100 x M
1999 - (100-y)/100 x (100+x)/100 x M

Question: Is 1999 > 1997
(100-y)/100 x (100+x)/100 x M > M
(100-y)/100 x (100+x)/100 > 1
(100-y)(100+x) > 100 x 100
100(x-y) - xy > 0
xy < 100(x-y)
B.
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 [#permalink] New post 24 Sep 2004, 22:59
anandnk wrote:
I believe it is B.

a) try with x = 20 and y = 18
and x = 20 and y = 15
Infsufficient

B)
r8 = (1+x/100)r7
r9 = (1-y/100)r8
r9/r7 = (1+x/100)*(1-y/100)

r9/r7 = 1 + 1/100 [ (x-y) - xy/100 ]
since (x-y) > xy/100

we know that r9 > r7


Wonderful anand :)
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Perseverance, Hard Work and self confidence

  [#permalink] 24 Sep 2004, 22:59
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