The annual rent collected by a corporation from a certain

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25 Apr 2006, 12:37

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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 â€“ y

Please explaine your answer.

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25 Apr 2006, 14:45

The Answer for this should be D.
1997 = A
1998 = A(1+0.0x) = B
1999 = B(1-0.0y) = A(1+0.0x)(1-0.0y) = A(1+10^-2(x-y-xy^-2) = C

Condition 1: As long as x > y Amount in 1999 >1997 - Sufficient
Condition 2: in x-y-xy^-2 is positive then C > A - Sufficient

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25 Apr 2006, 15:10

I think this would be E.

1) x > y
so let '97 = $100 and x =10 so '98 =$110

and if x>y then y could be 0 , then '99=$110 and $110>$100 (thus 99'>97')

but
if y = 9.9 , x is still greater than y (10>9.9) but '99 now = $99.11
and this makes the rent '98 less than '97

so 1) is Not Sufficient

2) If you plug in numbers it just is another form of saying x has to be greater than y (x>y) which is the same as 1)
so 2) is NS

thus E

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25 Apr 2006, 17:03

I think it is B.

a = value in 97
b = value in 98
c = value in 99

b = a*(1+x/100)
c = b*(1-y/100) = a*(1+x/100)(1-y/100)

For to be c greater than a, compare c > a
a*(1+x/100)(1-y/100) > a

assuming a <> 0, if we solve the above inequality, we get to condition in B.
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Last edited by giddi77 on 25 Apr 2006, 20:08, edited 1 time in total.

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25 Apr 2006, 17:21

giddi77 wrote:

I think it is B.

a = value in 97
b = value in 98
c = value in 99

b = a*(1+x/100)
c = b*(1-x/100) = a*(1+x/100)(1-y/100)

For to be c greater than a, compare c > a
a*(1+x/100)(1-y/100) > a

assuming a <> 0, if we solve the above inequality, we get to condition in B.

Another vote for B

question is

A < A(1+x/100)*(1-y/100)
1 < (1+x/100)*(1-y/100)
1 < 1 - y/100 + x/100 - xy/10000
0 < x/100 - y/100 - xy/10000
multiply by 100

x - y - xy/100 > 0

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26 Apr 2006, 12:00

OA is 'B'.

Great explanations giddi77 and conocieur.

2 Charlie45:
The source is the Internet. These questions very close resemble the real G-questions.

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26 Apr 2006, 14:05

M8 wrote:

OA is 'B'.
The source is the Internet. These questions very close resemble the real G-questions.

Doesn't matter where you get them from, keep them flowing. Thanks for posting nice Qs :good

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27 Apr 2006, 11:07

giddi77 wrote:

M8 wrote:

OA is 'B'.
The source is the Internet. These questions very close resemble the real G-questions.

Doesn't matter where you get them from, keep them flowing. Thanks for posting nice Qs :good

No probs I will continue, but mate why you do not answer on every question I post? As I see you are gini in math.

[#permalink] 27 Apr 2006, 11:07

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The annual rent collected by a corporation from a certain

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