In February Wilson’s earnings were 40 percent of his family’ : GMAT Problem Solving (PS)
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# In February Wilson’s earnings were 40 percent of his family’

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In February Wilson’s earnings were 40 percent of his family’ [#permalink]

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05 Feb 2013, 11:40
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75% (hard)

Question Stats:

43% (02:06) correct 57% (01:04) wrong based on 196 sessions

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In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent of his family’s total income?

(A) 15%

(B) 17%

(C) 24%

(D) 30%

(E) 33%

Source: Gmat Hacks 1800
[Reveal] Spoiler: OA

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Re: In February Wilson's earnings were 40 percent of his family' [#permalink]

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05 Feb 2013, 21:51
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megafan wrote:
In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent of his family’s total income?
(A) 15%
(B) 17%
(C) 24%
(D) 30%
(E) 33%

Source: Gmat Hacks 1800

Lets suppose the Total Family income in Feb = 100x
Wilson's earning in Feb = 40% of 100x = 40x
Earnings of remaining family in Feb = 100x - 40x = 60x

Wilson's earning in March = 75% of Wilson's Feb earnings = 75% of 40x = 30x
Earnings of remaining family in March = Earnings of remaining family in Feb = 60x

Thus Wilson's earning as % of Total family income in March = 30x/ (30+60)x = 30x/90x = 33.33%

Hope it helps.

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Re: In February Wilson's earnings were 40 percent of his family' [#permalink]

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05 Feb 2013, 22:00
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In Feb,
Let Wilson's Income be = $40 and rest of family's income be =$60

In March,
Wilson's Income = $30 and rest of family's income =$60

Total Family income = 30 + 60 = 90\$

Wilson's income as a percentage of family's income = 30/90 = 33%

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Re: In February Wilson’s earnings were 40 percent of his family’ [#permalink]

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05 Feb 2013, 23:43
megafan wrote:
In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent of his family’s total income?

(A) 15%

(B) 17%

(C) 24%

(D) 30%

(E) 33%

Source: Gmat Hacks 1800

Original question from GMAT Prep:

Quote:
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%

Are all Gmat Hacks questions just reworded questions from GMAT Prep?
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Re: In February Wilson’s earnings were 40 percent of his family’ [#permalink]

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06 Feb 2013, 08:09
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Bunuel wrote:

Are all Gmat Hacks questions just reworded questions from GMAT Prep?

Pretty much. That's why it's so good. In addition to GMATPrep-like questions, Sackmann's questions are also reworded from OG and GMAT Paper Tests. And there are 1800 of them in total. I did about 1000, on track to complete all of them by next week. Also have to to spend more time reviewing the mistakes I am making.

Anyway, to sum up, it's a really great source. After completing these questions, I should be on track to attempt the ultimatum—GMAT Club Tests!
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Re: In February Wilson’s earnings were 40 percent of his family’ [#permalink]

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04 May 2014, 18:29
the wording is very confusing.

W(feb)= .4F
W(March) = .75x.4F
therefore percentage = (75x.4F)/2F = .15
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Re: In February Wilson’s earnings were 40 percent of his family’ [#permalink]

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09 Feb 2015, 04:17
took the total income in feb as 100 so wilson in feb 40 and rest of family 60 now in march wilson 25% less than in feb and other members income same so wilson in march 30 and others 60 so total income in march 90 so wilson percentage 30/90=33.33 percentage
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Re: In February Wilson’s earnings were 40 percent of his family’ [#permalink]

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Re: In February Wilson’s earnings were 40 percent of his family’   [#permalink] 30 Mar 2016, 04:26
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