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 Post subject: Country R and its annual income
 Post Posted: Sat Sep 06, 2008 6:31 pm 
Q: Before being simplified, the instructions for computing income tax in country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax in country R's currency, for a person in that country whose annual income is I?
a) 50 + (I/200)
b) 50 + (3I/100)
c) 50 + (I/40)
d) 100 + (I/50)
e) 100 + (3I/100)

Answer: C

Your help is greatly appreciated! I have no clue.


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 Post subject: This looks simple....
 Post Posted: Sat Sep 06, 2008 6:44 pm 
Lets say Income is I

1% of income = I/100
2% of Income = 2I/100

Arithmetic Mean = (I/100 + 100C)/2 (Where C denotes the currency)

Therefore Total = 2I/100 + I/200 + 50
= 5I/200 + 50
Therefore C


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 Post subject: Re: This looks simple....
 Post Posted: Mon Sep 29, 2008 5:37 am 
Offline
ManhattanGMAT Staff


Posts: 6765
Quizzy wrote:
Lets say Income is I

1% of income = I/100
2% of Income = 2I/100

Arithmetic Mean = (I/100 + 100C)/2 (Where C denotes the currency)

Therefore Total = 2I/100 + I/200 + 50
= 5I/200 + 50
Therefore C


well done.

the principal challenge of this problem is the sheer length of the wording in the problem statement: there are just a ton of words crammed into a rather small amount of space.

when you parse something like this, you should try your best to break it down into smaller parts:
add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income.
this is somewhat difficult to do on gmat problems, because you don't have a pre-printed piece of paper on which you can simply block things off and underline things; you'll have to write this stuff out on the yellow pad with which you're supplied at the exam.


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