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In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]

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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 ?

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 = \(\frac{72}{112}\approx{64%}\).

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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press kudos, if you like the explanation, appreciate the effort or encourage people to respond.

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

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: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]

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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

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?

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: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]

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01 Jul 2015, 20:56

This question is testing how carefully we can read the problem. Like many of you, I failed to do so and chose C until I carefully reread the problem and saw my error.

Sample numbers are good here.

In May Family Income = 100 Lee = 60 Rest = 40

In June Lee = 60*1.2=72 Rest (since it is unchanged) = 40 Family = 112

Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]

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24 Dec 2017, 05:56

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