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04 Mar 2013, 07:50
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55% (hard)

Question Stats:

61% (02:42) correct 39% (01:41) wrong based on 293 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 _________________ Director Status: Tutor - BrushMyQuant Joined: 05 Apr 2011 Posts: 619 Location: India Concentration: Finance, Marketing Schools: XLRI (A) GMAT 1: 570 Q49 V19 GMAT 2: 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 Math Expert Joined: 02 Sep 2009 Posts: 39662 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 SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1857 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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Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 24 Jun 2014, 01:49 Let Mary's income increase by x. (15000+x) /(33,000+x) = 55/100 x=7000 _________________ Srinivasan Vaidyaraman Sravna http://www.sravnatestprep.com Classroom and Online Coaching Manager Joined: 13 Jun 2012 Posts: 103 Location: United States WE: Supply Chain Management (Computer Hardware) Mary's annual income is$15000 and John's annual income is $18000. [#permalink] ### Show Tags 26 Mar 2015, 04:49 Mary's annual income is$15000 and John's annual income is $18000. By how much Mary's annual income increase so that it constitutes 55% of Mary and John's combined income? a.$3000
b. $4000 c.$7000
d. $8000 e.$9000

I am not sure where I am making the mistake. M= 15000 and J= 18000. Together M+J= 33,000. So J's income should increase to 55% of the combined which is 18,150. 18,150-15000 = 3150
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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 26 Mar 2015, 04:52 Turkish wrote: Mary's annual income is$15000 and John's annual income is $18000. By how much Mary's annual income increase so that it constitutes 55% of Mary and John's combined income? a.$3000
b. $4000 c.$7000
d. $8000 e.$9000

I am not sure where I am making the mistake. M= 15000 and J= 18000. Together M+J= 33,000. So J's income should increase to 55% of the combined which is 18,150. 18,150-15000 = 3150

Merging topics. Refer to the discussion above.

Please search before posting. Thank you.
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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 26 Mar 2015, 05:36 1 This post received KUDOS 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 $$\frac{15+7}{33+7}$$ = $$\frac{22}{40}$$

C
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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 21 May 2016, 10:32 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: Mary’s annual income is$15,000 and John’s annual income is   [#permalink] 21 May 2016, 10:32
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