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

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In May Mrs. Lee's earnings were 60 percent of the Lee [#permalink] New post 24 Jun 2008, 18:44
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%

I did this some times, but anytime I redid, I always come to the trap!

L is Lee's earings, T is family'income

In May: L = 0.6*T
In June: L=1.2*0.6*T =0.72*T
Divide both sides by T, L/T=0.72. so C

Can you help me out what wrong with my reasonings above? Thanks!
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Re: GmatPrep. tricky one [#permalink] New post 24 Jun 2008, 19:04
i get A, 64% .... but i just picked numbers and didnt bother with the algebra =)

i assumed in may that total family income was 100, therefore ms.lee was 60 dollars .... so rest of family gave 40.

in june, ms. less earns 72 dollars, rest of family is still 40 bucks, so total is 112 and 72/112 = 64%
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Re: GmatPrep. tricky one [#permalink] New post 24 Jun 2008, 19:49
sondenso 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 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%

I did this some times, but anytime I redid, I always come to the trap!

L is Lee's earings, T is family'income

In May: L = 0.6*T
In June: L=1.2*0.6*T =0.72*T
Divide both sides by T, L/T=0.72. so C

Can you help me out what wrong with my reasonings above? Thanks!


Total family income in May: t
Lee's income in May: 0.6t
Rest of the family's income in May/June: 0.4t
Lee's income in June: 1.2 (0.6t) = 0.72t
Total family income in June: 0.4t+0.72t = 1.12t
Lee's income as a % of total family income in June: 1.2 (0.6t) = 0.72t/1.12t = 9/14 which is 64%

A.
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Re: GmatPrep. tricky one [#permalink] New post 24 Jun 2008, 21:56
Answer is A :

Your mistake is that while you increase the earnings of Mrs Lee in June, you do not change the total earnings for the month.
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Re: GmatPrep. tricky one [#permalink] New post 24 Jun 2008, 23:10
bhatiagp wrote:
Answer is A :

Your mistake is that while you increase the earnings of Mrs Lee in June, you do not change the total earnings for the month.


Thanks bhatiagp, and everybody! Sometimes I dont know how to make conclusion from what I have done! :lol: Bhatiagp's reasoning is simple but useful for me! Thanks again!

OA is A
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Re: GmatPrep. tricky one   [#permalink] 24 Jun 2008, 23:10
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