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annual rent

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annual rent

by swapna » Mon Apr 19, 2010 12:51 pm
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?

a.x>y
b.(xy/100)<x-y

ans b

can some one help?
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by iamtensai » Mon Apr 19, 2010 8:03 pm
This question took me a bit longer and I would have guessed on the exam. So i hope someone might have a faster solution.

here is my setup:
1997 rent : a
1998 rent : (1+x/100)a --> since 1998 rent is x percent more than 1997 rent
1999 rent : (1-y/100)(1+x/100)a --> since 1999 rent is y percent more than 1998 rent

the question is just asking us to compare "(1-y/100)(1+x/100)a" versus "a"

it simplifies to (1+x/100-y/100-xy/10000)a or (1+(x-y)/100-xy/10000)a

statement 1. x>y: insufficient. although we know that x-y>0, we don't know enough about the "xy/100" term.
statement 2. (xy/100)<x-y <=> (xy/10000)<(x-y)/100 <=> (x-y)/100-(xy/10000)>0, this address all our uncertainties and is sufficient.
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by ajith » Mon Apr 19, 2010 10:46 pm
Moved to DS forum
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by eaakbari » Wed Apr 21, 2010 12:17 pm
My method was the same as Iamtensai and yes I did cross 2. Do give alternate methods
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