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Before being simplified, the instructions for computing

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Re: Country R  [#permalink]

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New post 13 Aug 2009, 21:44
1
3
2/100 * I + (100 + 1/100 * I) / 2
= I/50 + 50 + I/200
= 50 + 5I/200
= 50 + I/40

So, C it is.

The last part is tricky, as we need to add the 2% of one's annual income to the Average of 100 units or R's currency & 1% of one's annual income.
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Re: Country R  [#permalink]

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New post 14 Aug 2009, 11:15
joyseychow wrote:
Pls. explain. Thks.


C from me as well....
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Re: PS from Gmat Prep  [#permalink]

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New post 23 Mar 2010, 16:34
Can you post the choices as well?
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Re: Country R  [#permalink]

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New post 28 Apr 2010, 06:06
I didn't understand this. Could someone please explain?
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PS2  [#permalink]

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New post 10 May 2010, 09:36
Please explain....
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 03 Jun 2011, 00:05
1
GMAT TIGER wrote:
lionheart187 wrote:
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of ones'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 + I/40
C) 50 + I/40
D) 100 + I/50
E) 100 + 3I/100



Whats the diff between B and C?


I = one's annual income
2 percent of ones's annual income = 0.02 of I
the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income = (100 + 0.01 of I)/2

the simplified formula = 2 percent of ones's annual income + the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income

the simplified formula = [0.02 of I + (100 + 0.01 of I)/2]
the simplified formula = 50 + I/40


Hi,
Im keep on getting 10,000 + I/40. Could you please explain how you reached "50" + I/40.
I know its very simple but im missing something. :oops:

Thanks
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 03 Jun 2011, 00:14
2
Carol680 wrote:
GMAT TIGER wrote:
lionheart187 wrote:
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of ones'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 + I/40
C) 50 + I/40
D) 100 + I/50
E) 100 + 3I/100



Whats the diff between B and C?


I = one's annual income
2 percent of ones's annual income = 0.02 of I
the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income = (100 + 0.01 of I)/2

the simplified formula = 2 percent of ones's annual income + the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income

the simplified formula = [0.02 of I + (100 + 0.01 of I)/2]
the simplified formula = 50 + I/40


Hi,
Im keep on getting 10,000 + I/40. Could you please explain how you reached "50" + I/40.
I know its very simple but im missing something. :oops:

Thanks


Here it is
2% of I + ( 100 +1% of I)/2
2/100*I + 100/2 + (1/100*I)/2
2I/100+50+I/200
(4I+I)/200 + 50
I/40 + 50

hope this helps
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 03 Jun 2011, 00:44
"the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income = (100 + 0.01 of I)/2"
@GMAT TIGER:How can we divide it by 2. I mean when there are 100 notes of country R's currency + some percent of one mans income ,how can the total be two?Elaborate the concept pls.
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 03 Jun 2011, 00:54
i eventually also got i/40 + 50 as some have posted here BUT I initially also thought that it was (100units + 1%I/101).. I thought 100 units can not just be expressed in the denominator as 1..
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 03 Jun 2011, 04:11
3
lionheart187 wrote:
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of ones'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/300
C) 50 + I/40
D) 100 + I/50
E) 100 + 3I/100


Add
2% of Annual Income
TO
Average OF[100 units of currency AND 1% of annual Income]

Annual Income=x (using x for clarity because I looks like 1)

2% of Annual Income = 2x/100
1% of Annual Income = 1x/100= x/100
Average of [100 units of currency AND 1% of annual Income] = (100+(x/100))/2=((100)^2+x)/200

\(Tax=\frac{2x}{100}+\frac{100^2+x}{200}\)

\(Tax=\frac{4x+100^2+x}{200}\)

\(Tax=\frac{5x+100^2}{200}\)

\(Tax=\frac{5x}{200}+\frac{100^2}{200}\)

\(Tax=\frac{x}{40}+\frac{100*100}{200}\)

\(Tax=50+\frac{x}{40}\)

Ans: "C"
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 07 Jun 2011, 08:13
thank you sudhir18n +1.
I wasnt concentrating enough :(
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Re: Hard GMAT PREP PS problem  [#permalink]

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New post 22 Jul 2011, 13:59
thanks for explanation of this problem
i missread the text
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Re: Before being simplified, the instructions for computing  [#permalink]

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Re: Before being simplified, the instructions for computing &nbs [#permalink] 14 Jul 2018, 19:23

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