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# The annual rent collected by a corporation from a certain

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Director
Joined: 08 Jul 2004
Posts: 604
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Kudos [?]: 93 [0], given: 0

The annual rent collected by a corporation from a certain [#permalink]  24 Sep 2004, 08:07
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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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 â€“ y
SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

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
Director
Joined: 08 Jul 2004
Posts: 604
Followers: 2

Kudos [?]: 93 [0], given: 0

Thanks Anand!! Brilliant man!! You must be IIT/engineering graduate I guess!!
S
Director
Joined: 31 Aug 2004
Posts: 610
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Kudos [?]: 50 [0], given: 0

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 ??
SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

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

Anand.
Director
Joined: 20 Jul 2004
Posts: 593
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Kudos [?]: 53 [0], given: 0

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.
Senior Manager
Joined: 06 Dec 2003
Posts: 366
Location: India
Followers: 1

Kudos [?]: 4 [0], given: 0

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
_________________

Perseverance, Hard Work and self confidence

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