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In May Mrs Lee's earnings were 60 percent of the Lee family'

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In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink] New post 29 May 2010, 07:23
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In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%
[Reveal] Spoiler: OA

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Re: Mrs Lee [#permalink] New post 29 May 2010, 07:29
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In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%

Let total income of the family be 100$. In May Mrs Lee's earnings were 60 percent = 60$. Rest of the family's earnings = 40$.

In June family's earnings did not change = 40$, Mrs Lee's earnings = 60$*1.2 = 72$. Total = 40 + 72 = 112$. Mrs Lees share = \frac{72}{112}\approx{64%}.

Answer: A.
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Re: Simple Percents PS Question [#permalink] New post 14 Oct 2013, 19:29
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JmSass217 wrote:
Hi all. This question was one I got wrong on a practice test (which unfortunately doesn't give or explain the correct solution). I think I must just be looking at it the wrong way though it doesn't seem like a difficult question at all. Another point of view and explanation would be appreciated. Thanks!

In May Mrs. Lee's earnings were 60% of the Lee family's total income. (I wrote down 0.6x) In June Mrs. Lee earned 20% more than in May. ((1.2)(0.6x) maybe this is where I went wrong?) If the rest of the family's income was the same in both months, then what percent of the Lee family's total income did Mrs. Lee earn in June?

64% - 68% - 72% - 76% - 80%

My answer was 72% because (1.2(0.6x)) = .72x But I'm guessing now that I wrote it out wrong?


The only thing you did wrong is that while calculating Lee's new share you considered the same base i.e. x

Lee families income (May) = x
Lee's share in that (60%) = 0.6x
Lees' income in june = 0.72x
Lee families income (June) = 1.12x
Lee's new share = 64.28%

Or solve it with simple values

Lee families income (May) = 100
Lee's share in that (60%) = 60
Lees' income in june = 72
Lee families income (June) = 112
Lee's new share = 64.28%
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Re: Mrs Lee [#permalink] New post 29 May 2010, 08:15
Bunuel wrote:
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If rest of the family's income did not change, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%

Let total income of the family be 100$. In May Mrs Lee's earnings were 60 percent = 60$. Rest of the family's earnings = 40$.

In June family's earnings did not change = 40$, Mrs Lee's earnings = 60$*1.2 = 72$. Total = 40 + 72 = 112$. Mrs Lees share = \frac{72}{112}\approx{64%}.

Answer: A.


I think Gmat shouldn't trick us with wording like "total". Quant is already tough and making such questions it just throw me off sometimes.
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Re: Mrs Lee [#permalink] New post 04 Jun 2011, 10:38
Though I understand above explanation , considering rest of Family income is fixed it is 64%

What is wrong with this method?
Equation1 ...............ML(May Lee) = 60/100 F (Family);
Equation 2 ................ JL(June Lee) = 120/100 ML
Substitute Equation1 in equation 2
JL = 120/100*(60/100*F)
JL = 72/100*F ... So JL is 72% of Family income
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Re: Mrs Lee [#permalink] New post 05 Jun 2011, 02:41
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prasforgmat wrote:
Though I understand above explanation , considering rest of Family income is fixed it is 64%

What is wrong with this method?
Equation1 ...............ML(May Lee) = 60/100 F (Family);
Equation 2 ................ JL(June Lee) = 120/100 ML
Substitute Equation1 in equation 2
JL = 120/100*(60/100*F)
JL = 72/100*F ... So JL is 72% of Family income



As lee is a family member so his portion is included in the total income.
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Re: Mrs Lee [#permalink] New post 11 Jun 2011, 15:35
In May

Lee's income = (60/100)T where T is the family total income in may.

Rest of the family's income = (40/100)T

In June

Lee's income in june = (120/100) (60/100) T = (72/100)T
Rest of the family's income is same as their may's income = (40/100)T


so lee's income as a percentage of total family's income in June = 72/112 = 64%

Answer is A.
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Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink] New post 05 Feb 2012, 03:10
Ans is A
let total income is x so Mrs Lee income is 0.6x so rest of family income is 0.4x
mow her salary inc by 20% so it now becomes 0.72x but the remaining income remains 0.4x so now the total family income is 1.12x so 0.72x/1.12x
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Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink] New post 05 Feb 2012, 10:22
I hate it when GMAT tricks us with questions.

I chose C :(
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Simple Percents PS Question [#permalink] New post 14 Oct 2013, 16:56
Hi all. This question was one I got wrong on a practice test (which unfortunately doesn't give or explain the correct solution). I think I must just be looking at it the wrong way though it doesn't seem like a difficult question at all. Another point of view and explanation would be appreciated. Thanks!

In May Mrs. Lee's earnings were 60% of the Lee family's total income. (I wrote down 0.6x) In June Mrs. Lee earned 20% more than in May. ((1.2)(0.6x) maybe this is where I went wrong?) If the rest of the family's income was the same in both months, then what percent of the Lee family's total income did Mrs. Lee earn in June?

64% - 68% - 72% - 76% - 80%

My answer was 72% because (1.2(0.6x)) = .72x But I'm guessing now that I wrote it out wrong?
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Re: Simple Percents PS Question [#permalink] New post 14 Oct 2013, 21:42
Expert's post
JmSass217 wrote:
Hi all. This question was one I got wrong on a practice test (which unfortunately doesn't give or explain the correct solution). I think I must just be looking at it the wrong way though it doesn't seem like a difficult question at all. Another point of view and explanation would be appreciated. Thanks!

In May Mrs. Lee's earnings were 60% of the Lee family's total income. (I wrote down 0.6x) In June Mrs. Lee earned 20% more than in May. ((1.2)(0.6x) maybe this is where I went wrong?) If the rest of the family's income was the same in both months, then what percent of the Lee family's total income did Mrs. Lee earn in June?

64% - 68% - 72% - 76% - 80%

My answer was 72% because (1.2(0.6x)) = .72x But I'm guessing now that I wrote it out wrong?


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Also, please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rules #1, 3, 7, and 8. Thank you.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Simple Percents PS Question   [#permalink] 14 Oct 2013, 21:42
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