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> or < a hard official one

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> or < a hard official one

by tanviet » Mon Apr 20, 2009 1:07 am
the anual 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

this is official one from 15 test set. pls help with this
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by bluementor » Mon Apr 20, 2009 2:07 am
Are you sure there isn't a typo in statement 2. This post here has an otherwise identical question:

https://www.beatthegmat.com/word-prob-t19707.html

My solution is as follows:

Rent_1987 = P
Rent_1988 = P(1 + x/100) .. x% increase from 1987
Rent_1989 = P(1 + x/100)(1 - y/100) …y% decrease from 1988

Is Rent_1989 > Rent_1987?
P(1 + x/100)(1 - y/100) > P ?
(1 + x/100)(1 - y/100) > 1 ?
1 + x/100 - y/100 -xy/10000 > 1 ?
(x - y)/100 - xy/10000 > 0 ?
(x - y)/100 > xy/10000 ?
100(x-y) > xy ? ….my question stem has been reduced to this.

Statement 1: x > y
If x = 50, y = 49, the answer to the question stem is NO.
If x = 2, y = 1, the answer to the question stem is YES.

Insufficient.

Statement 2: xy/100 < x-y (I'm assuming there is a typo in duongthang's post)

This statement directly answers the question stem as YES. Sufficient.

Choose B.

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by tanviet » Mon Apr 20, 2009 3:22 am
yes, 2 is

xy/100 < x-y
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by tanviet » Mon Apr 20, 2009 3:25 am
you are wong

1988 rent is P(1+x)

1999 rent is P(1+x)(1-y)

because x percent is x/100
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by bluementor » Mon Apr 20, 2009 3:40 am
duongthang wrote:you are wong

1988 rent is P(1+x)

1999 rent is P(1+x)(1-y)

because x percent is x/100
20 percent of 50 = (20/100)*50 = 10

so the in the same way:

x percent of A = (x/100)*A

therefore x percent actually means x/100.

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by tanviet » Tue Apr 21, 2009 1:23 am
so what is correct answer. IMO is E
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