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# Before being simplified, the instructions for computing

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Before being simplified, the instructions for computing [#permalink]

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16 Feb 2006, 19:41
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Difficulty:

75% (hard)

Question Stats:

57% (01:49) correct 43% (00:54) wrong based on 581 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: before-being-simplified-the-instructions-for-computing-125936.html
[Reveal] Spoiler: OA
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17 Feb 2006, 00:12
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C.
= 2I/100+(100+I/100)/2
= 2I/100+(10000+I)/200
= (4I + 10000 + I)/200
= (5I + 10000)/200
= 5I/200 + 10000/200
= I/40 + 50
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19 Jun 2006, 07:18
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Before being simplified, the instructions for computing income tax in Country R were to add 2% of one's annual income to the average of 100 units of Country R's currency and 1% of one's anuual income. Which of the foloowing represents the simplified formula for computing income tax in Country R's currency, for a person whose income is I?

a. 50 + (I/200)
b. 50 + (3I/100)
c. 50 + (I/40)
d. 100 + (I/50)
e. 100 + (3I/100)

Please show/explain your work. This one is so wordy and near the end, I think I drowned in the verbiage.
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19 Jun 2006, 07:26
I may be misreading this problem, but here it goes...

2%+1%=3%

3% can also be written as 3/100.

3/100+100

(E)
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19 Jun 2006, 09:16
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kuristar wrote:
Before being simplified, the instructions for computing income tax in Country R were to add 2% of one's annual income to the average of 100 units of Country R's currency and 1% of one's anuual income. Which of the foloowing represents the simplified formula for computing income tax in Country R's currency, for a person whose income is I?

a. 50 + (I/200)
b. 50 + (3I/100)
c. 50 + (I/40)
d. 100 + (I/50)
e. 100 + (3I/100)

= 2I/100 + (100 + I/100)/2
= 2I/100 + (50 + I/200)
= 50 + 2I/100 + I/200
= 50 + (4I + I)/200
= 50 + (5I)/200
= 50 + (I)/40

so C.
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20 Jun 2006, 23:03
Murthy's explanation is spot on. C is the answer.
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Zooroopa

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22 Jun 2006, 15:50
c. 50 + (I/40)

2I/100 + (100 + I/100)/2
=I/50 + 100/2 + I/200
= 4I/200 + 50 + I/200
= 5I/200 + 50 = I/4 + 50 (C)
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25 Sep 2007, 05:01
Before being simplified, the instructions for computing income tax in country R were to add 2% of one’s annual income to the everage (arithmetic mean) of 100 units of country R’s currency and 1% of one’s annual income.
Which is the simplified formula of income tax, if annual income is I?

a) 50 + I/200

b) 50 + 3I/100

c) 50 + I/40

d) 100 + I/50

e) 100 + 3I/100
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25 Sep 2007, 06:59
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Read it carefully, and you will see that it is easy. Average is used to take mean of the two units which are connected by word AND.

Ans: C
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25 Sep 2007, 07:54
I come up with the formula .02I + (100 + .01I)/2. Do not see how this reduces to answer C. Perhaps not enough caffeine this morning. would someone be kind enough to further explain? Thanks.
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25 Sep 2007, 09:00
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uphillclimb wrote:
I come up with the formula .02I + (100 + .01I)/2. Do not see how this reduces to answer C. Perhaps not enough caffeine this morning. would someone be kind enough to further explain? Thanks.

.02I + (100 + .01I)/2

= (2/100) * I + ( 100 + (1/100)*I)/2
= (2I/100) + (100/2) + (I/200)
= 5I/200 + 50
= I/40 + 50
= 50 + I/40 hence C.

- Brajesh
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Re: GMAT Prep - PS [#permalink]

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25 Sep 2007, 21:03
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Artemov wrote:
Before being simplified, the instructions for computing income tax in country R were to add 2% of one’s annual income to the everage (arithmetic mean) of 100 units of country R’s currency and 1% of one’s annual income.
Which is the simplified formula of income tax, if annual income is I?

a) 50 + I/200

b) 50 + 3I/100

c) 50 + I/40

d) 100 + I/50

e) 100 + 3I/100

Ah love this one. Not too hard to solve, just gotta get through wording of the question first.

.02I + (100+.01I)/2

2I/100 + 50 + I/100/2 ---> I/50+50 + I/200 ---> 4I/200+I/200 +50---> 5I/200 --> 50+ I/40.

C
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26 Sep 2007, 19:39
Yup. Definitely not enough caffeine. Duh. Thanks guys!
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Hard GMAT PREP PS problem [#permalink]

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31 Aug 2008, 12:09
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

Last edited by lionheart187 on 31 Aug 2008, 12:43, edited 1 time in total.
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Re: Hard GMAT PREP PS problem [#permalink]

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31 Aug 2008, 12:31
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
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Re: Hard GMAT PREP PS problem [#permalink]

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31 Aug 2008, 18:17
actually , the prob can be solved very fast , by back solving...
but it took me more time to comprehend the meaning of this , thanks to the convoluted langauge....
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Re: Hard GMAT PREP PS problem [#permalink]

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01 Sep 2008, 00:31
Thanks for the explanation! I made the mistake of thinking the average of 100 units and 1 % of income was (100units + 1%I/101). The wording confuses me sometimes on hard problems like these!

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
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26 Jul 2009, 14:02
This is a question from gmat prep 1, I still can't understand it.

Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of ones annual income to the average (arthimetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified forumula 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

Also if someone can teach me a better way to copy questions into this forums that would be great as well.

Thanks,

SF
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26 Jul 2009, 16:31
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Income of a person is I
2 percent of ones annual income = 2I/100
100 units of Country R's currency = 100
1 percent of one's annual income = I/100
Average of 100 units and 1 percent annual income = 50 + I/200
Sum of average and 2 percent = I/50 + 50 + I/200
= 50 + 5I/200
= 50 + I/40
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13 Aug 2009, 21:28
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Pls. explain. Thks.
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Country R   [#permalink] 13 Aug 2009, 21:28

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# Before being simplified, the instructions for computing

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