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04 Mar 2013, 07:50
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Difficulty:

55% (hard)

Question Stats:

60% (01:42) correct 40% (01:53) wrong based on 359 sessions

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Mary’s annual income is $15,000 and John’s annual income is$18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 Source: Gmat Hacks 1800 [Reveal] Spoiler: OA _________________ Kudos [?]: 267 [2], given: 91 Director Status: Tutor - BrushMyQuant Joined: 05 Apr 2011 Posts: 617 Kudos [?]: 798 [1], given: 59 Location: India Concentration: Finance, Marketing Schools: XLRI (A) GMAT 1: 700 Q51 V31 GPA: 3 WE: Information Technology (Computer Software) Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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04 Mar 2013, 08:02
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megafan wrote:
Mary’s annual income is $15,000 and John’s annual income is$18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 Source: Gmat Hacks 1800 Let Mary's income increase by x, then the equation will be 15,000 + x= (55/100)* (15,000 + x + 18000 ) 15,000 + x = (11/20) * (33,000 + x) 300,000 + 20x = 11x + 363,000 9 x = 63,000 x = 7,000 So, Answer will be C Hope it helps! _________________ Ankit Check my Tutoring Site -> Brush My Quant GMAT Quant Tutor How to start GMAT preparations? How to Improve Quant Score? Gmatclub Topic Tags Check out my GMAT debrief How to Solve : Statistics || Reflection of a line || Remainder Problems || Inequalities Kudos [?]: 798 [1], given: 59 Math Expert Joined: 02 Sep 2009 Posts: 42302 Kudos [?]: 133013 [1], given: 12402 Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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04 Mar 2013, 12:09
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megafan wrote:
Mary’s annual income is $15,000 and John’s annual income is$18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 Source: Gmat Hacks 1800 Plug in method works for this question perfectly. Try the middle number: if Mary's annual income increase by$7,000, her income will be $22,000 and combined income will be 22,000 + 18,000 =$40,000. 55% of $40,000 is exactly$22,000.

Hope it helps.
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04 Feb 2014, 14:23
megafan wrote:
Mary’s annual income is $15,000 and John’s annual income is$18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 Source: Gmat Hacks 1800 Should they mention to constitute 55% of Mary and John combined income after the increase? Cause for me it is not 100% clear. What do you guys think about the language? Cheers J Kudos [?]: 743 [0], given: 355 SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1851 Kudos [?]: 2722 [0], given: 193 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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23 Jun 2014, 03:33
Mary................. John ............... Total
15000 ................ 18000 ................... 33000

Lets say Mary's income increases by x

15000+x .............. 18000 .................... 33000+x

Post increment, Mary's income should constitute 55% of total combined; this also means that John's income should constitute 45%

This step helps variable "x" to be in only one side of the equation

$$\frac{45}{100} (33000+x) = 18000$$

x = 7000

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26 Mar 2015, 05:36
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megafan wrote:
Mary’s annual income is $15,000 and John’s annual income is$18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 Source: Gmat Hacks 1800 Current ratio is $$\frac{15000}{33000} = \frac{15}{33}$$ what should be added to denominator and numerator to make it $$\frac{55}{100}$$ or $$\frac{11}{20}$$ or $$\frac{22}{40}$$ . Adding 7 will make $$\frac{15+7}{33+7}$$ = $$\frac{22}{40}$$ Answer 7000. C _________________ Thanks, Lucky _______________________________________________________ Kindly press the to appreciate my post !! Kudos [?]: 548 [1], given: 75 Non-Human User Joined: 09 Sep 2013 Posts: 15564 Kudos [?]: 283 [0], given: 0 Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 28 Aug 2017, 15:19 the trick is to use 11/20 rather than 0.55, there is no secret in this question. It should not be hard at all. Kudos [?]: 21 [0], given: 1063 Re: Mary’s annual income is$15,000 and John’s annual income is   [#permalink] 28 Aug 2017, 15:19
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