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In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
 29 May 2010, 08:23
Question Stats:
37% (02:21) correct
62% (00:43) wrong based on 14 sessions
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%
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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 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$. Mrs Lees share = \frac{72}{112}\approx{64%}. Answer: A.
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Senior Manager
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Bunuel wrote: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If rest of the family's income did not change, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%
Let total income of the family be 100$. 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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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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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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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]
05 Feb 2012, 04:10
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]
05 Feb 2012, 11:22
I hate it when GMAT tricks us with questions. I chose C 
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In May Mr. Lee's earnings were 60 percent of the Lee family's total income. In June Mr. Lee earned 20 percent
more than in May. If the rest of the family's income was the same both months, then, in June, Mr. Lee's earnings
were approximately what percent of the Lee Family's total income?
Not sure how to solve this one..
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Re: Mr. Lee's income [#permalink]
29 Mar 2013, 02:36
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Re: Mr. Lee's income
[#permalink]
29 Mar 2013, 02:36
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