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In May, Mrs. Smith's earnings were 60% of the Smith family's

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Senior Manager
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In May, Mrs. Smith's earnings were 60% of the Smith family's [#permalink] New post 20 Oct 2006, 00:59
In May, Mrs. Smith's earnings were 60% of the Smith family's total income. In June Mrs. Smith earned 20 percent more than in May. If the rest of the family's income was the same both monts, then, in June, Mrs. Smith's earnings were approximately what percent of the Smith family's total income?

64%
68%
72%
76%
80%

OA is 64%.

But i get 72%. I don't know where i went wrong in my computation (below).

F = family income each month
M = Mrs Smith's income for May
J = Mrs Smith's income for June

May: 0.60F = M
June: J = 1.2M

J = 1.2 (0.60F)
J = 0.72F

J/F = .72
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 [#permalink] New post 20 Oct 2006, 03:21
In your calculation you fail to take into account that the income of the rest of the family stays the same, BUT the total family income increases. In your calculation it's vice versa.


The correct calculation should look like this:
(0.6*1.2)/(0.6*1.2+0.4)=0.72/1.12=0.64
Senior Manager
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 [#permalink] New post 20 Oct 2006, 22:07
Sheesh! That's tricky... I dunno how i'm going to get a 700 score on this freakin exam if i keep missing out on those details... :x So frustrating.

... Thanks...
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 [#permalink] New post 21 Oct 2006, 01:23
Hermione wrote:
Sheesh! That's tricky... I dunno how i'm going to get a 700 score on this freakin exam if i keep missing out on those details... :x So frustrating.

... Thanks...


No worries! I'm sure you are going to do fine, just keep up the hard work :-D
  [#permalink] 21 Oct 2006, 01:23
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