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Before being simplified, the instructions for computing income tax in
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23 Mar 2010, 16:25
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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
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Before being simplified, the instructions for computing income tax in
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23 Mar 2010, 17:16
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 Tax is the sum of the following:2 percent of one's annual income  \(0.02I\); The average (arithmetic mean) of 100 units of country R's currency and 1 percent of one's annual income  \(\frac{100+0.01I}{2}\). \(Tax=0.02*I+\frac{100+0.01*I}{2}=50+\frac{0.04*I+0.01*I}{2}=50+\frac{0.05*I}{2}=50+\frac{I}{40}\). Answer: C.
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Re: Before being simplified, the instructions for computing income tax in
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19 Nov 2015, 15:09
pooja3017 wrote: 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 2 percent of one’s annual incomeIf income = i, then 2% of income = (2/100)i = 0.02i average of 100 units of country R’s currency and 1 percent of one’s annual income1 percent of one’s annual income = (0.01)i So, average of 100 units of country R’s currency and 1 percent of one’s annual income = (100 + 0.01i)/2 = 50 + 0.005iSo, TOTAL TAX = 0.02i + ( 50 + 0.005i) = 0.025i + 50 = (25/1000)i + 50 = (1/40)i + 50 = i/40 + 50 = C Cheers, Brent
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Re: Before being simplified, the instructions for computing income tax in
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19 Nov 2015, 18:23
Hi pooja3017, This question can be solved by TESTing VALUES. I'm going to use the variable "J" instead of an "I" (since that might be mistaken for the number 1)... We're told to add "2% of one's income" to "the average of 100 and 1% of one's income" Let's TEST J = 100 So we're adding 2% of 100 to (100 + 1% of 100)/2.... 2 + 101/2 = 2 + 50.5 = 52.5 So we're looking for an answer that equals 52.5 when J = 100. There's only one answer that matches... Final Answer: GMAT assassins aren't born, they're made, Rich
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03 Jun 2011, 04:11
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: Before being simplified, the instructions for computing income tax in
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26 Aug 2012, 10:47
The language is a trap here, sometimes SC is tested in Quants Wrong method: (100/2)+(0.02I + 0.01 I) = 50+(3I/100) Answer choice B Right method: 0.02I + {(100+0.01 I)/2} = 50+I/40 Correct Answer Choice C



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Re: Before being simplified, the instructions for computing income tax in
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24 Jun 2019, 18:58
Brego wrote: ScottTargetTestPrep Bunuel EMPOWERgmatRichC In my test I did this: (100*R) + 0.01I. And I didn't know what to divide by to find the average. My question is, why do we just add 100 units of R plus 1 percent of income and then divide by 2? Shouldn't it be divided by 100 units + a number? I think I am wrong at assuming that 100 units is a quantity not the total value of all the currency. How does the passage hint that 100 units is quantity * price instead of just quantity? Wouldn't it be more clear if it just said a total of 100 dollars? It makes reader think that "units" are actually the quantity of currency R. Thank you The phrase “100 units of Country R's currency” actually means something like 100 dollars, except that it doesn’t have to be dollars; hence the saying “Country R's currency”. If Country R uses Euros, it would be 100 Euros, if Country R uses Pesos, it would be 100 Pesos etc. (100 * R) + 0.01l is not meaningful; in the question, R stands for nothing besides the country’s name. To simplify the question, let’s just say the country uses dollars and reword the income tax, the way it is before simplification, as follows: 1) Find the average of 100 dollars and 1 percent of the individual's income 2) Add 2 percent of the individual's income to the result of the previous step. The result of step 1) is (100 + 0.01l)/2 and the result of step 2) is 0.02l + (100 + 0.01l)/2.
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Re: Before being simplified, the instructions for computing income tax in
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07 Sep 2014, 00:56
nesta wrote: Before being simplified, the instructions for computing income tax in Country Rwere 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 I income 0.02I  2% of I ; 0.01I  1% of I ; 100 units  i count as 100. so 0.02I + (100+0.01I)/2 > (0.04I+100+0.01I)/2 (100+0.05I)/2 50 + 0.05I/2  (0.05I/2 > 5I/200 > I/40) 50+I/40 Hence Answer is C



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Re: Before being simplified, the instructions for computing income tax in
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19 Nov 2015, 16:46
pooja3017 wrote: 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 Took me some time to translate the question, but here is how I did it: Annual Income = i 2% of annual income = 0.02i Average of 100 R and 1% of annual income = (100+0.01i)/2 (100+0.01i)/2 + 0.02i (50+0.005i) + 0.02i 50 + 0.025i 50 + 25i/1000 50 + 5i/200 50 + 1i/40 Answer C



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Re: Before being simplified, the instructions for computing income tax in
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22 Jun 2019, 13:31
Hi Brego, It might help to think about what exactly you are "averaging" and why. Here, we're averaging 2 things: "100 units of currency" and "1% of one's annual income", so you're probably thinking about either dividing by 2 or dividing by 101. Dividing by 101 wouldn't make much sense, since we're not asked to find the average of all of the individual items. The only other option would be to divide by 2, which would make sense, since we're trying to determine the calculation for the amount of income tax (and the prompt is clearly discussing the formula for that). GMAT assassins aren't born, they're made, Rich
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Re: Before being simplified, the instructions for computing income tax in
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19 Nov 2015, 22:09
The posts above demonstrate the two methods (Algebraic and InputOutput) for solving a question type I call Variables in the Answer Choices. If you'd like more information on these approaches, we have some free videos:  Variables in the Answer Choices  http://www.gmatprepnow.com/module/gmat ... /video/933  Tips for the Algebraic Approach  http://www.gmatprepnow.com/module/gmat ... /video/934  Tips for the InputOutput Approach  http://www.gmatprepnow.com/module/gmat ... /video/935 Cheers, Brent
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Re: Before being simplified, the instructions for computing income tax in
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26 Apr 2018, 15:47
nesta wrote: 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 We are given that 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. We need to determine the formula for computing the tax for a person who earns “I” annual income. The expression is as follows: 0.02I + (100 + 0.01I)/2 2I/100 + (100 + I/100)/2 2I/100 + 100/2 + I/200 2I/100 + 50+ I/200 50 + 4I/200 + I/200 50 + 5I/200 50 + I/40 Answer: C
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Re: Before being simplified, the instructions for computing income tax in
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22 Jun 2019, 04:09
ScottTargetTestPrep Bunuel EMPOWERgmatRichC In my test I did this: (100*R) + 0.01I. And I didn't know what to divide by to find the average. My question is, why do we just add 100 units of R plus 1 percent of income and then divide by 2? Shouldn't it be divided by 100 units + a number? I think I am wrong at assuming that 100 units is a quantity not the total value of all the currency. How does the passage hint that 100 units is quantity * price instead of just quantity? Wouldn't it be more clear if it just said a total of 100 dollars? It makes reader think that "units" are actually the quantity of currency R. Thank you



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Re: Before being simplified, the instructions for computing income tax in
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25 Jun 2019, 16:59
Brego wrote: ScottTargetTestPrep Bunuel EMPOWERgmatRichC In my test I did this: (100*R) + 0.01I. And I didn't know what to divide by to find the average. My question is, why do we just add 100 units of R plus 1 percent of income and then divide by 2? Shouldn't it be divided by 100 units + a number? I think I am wrong at assuming that 100 units is a quantity not the total value of all the currency. How does the passage hint that 100 units is quantity * price instead of just quantity? Wouldn't it be more clear if it just said a total of 100 dollars? It makes reader think that "units" are actually the quantity of currency R. Thank you The phrase “100 units of Country R's currency” actually means something like 100 dollars, except that it doesn’t have to be dollars; hence the saying “Country R's currency”. If Country R uses Euros, it would be 100 Euros, if Country R uses Pesos, it would be 100 Pesos etc. (100 * R) + 0.01l is not meaningful; in the question, R stands for nothing besides the country’s name. To simplify the question, let’s just say the country uses dollars and reword the income tax, the way it is before simplification, as follows: 1) Find the average of 100 dollars and 1 percent of the individual's income 2) Add 2 percent of the individual's income to the result of the previous step. The result of step 1) is (100 + 0.01l)/2 and the result of step 2) is 0.02l + (100 + 0.01l)/2.
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Re: Before being simplified, the instructions for computing income tax in
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24 Nov 2019, 04:08
Using Manhattan's approach to solve questions that do not involve absolute numbers  USE SMART NUMBERS!
Let Income (I) = 100 2% of I = 2 1% of I = 1
Formula F = 2 + [(100+1)/2] =(4+101)/2 = 52.5
Okay, now come to the options. Always start with (C) After substituting I = 100 in (C), we get 52.5 and hence C is our answer.




Re: Before being simplified, the instructions for computing income tax in
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