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Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 04 Mar 2013, 06:50 6 This post was BOOKMARKED 00:00 Difficulty: 55% (hard) Question Stats: 60% (02:42) correct 40% (01:41) wrong based on 284 sessions ### HideShow timer Statistics 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

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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 04 Mar 2013, 07:02 1 This post received KUDOS 1 This post was BOOKMARKED 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

Hope it helps!
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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 04 Mar 2013, 11:09 3 This post received KUDOS Expert's post 2 This post was BOOKMARKED 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. Answer: C. Hope it helps. _________________ Intern Joined: 07 Jun 2013 Posts: 16 Followers: 0 Kudos [?]: 3 [2] , given: 19 Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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07 Jul 2013, 18:06
2
KUDOS
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?

Let X be the combined income.
Since only Mary's income is increasing then John's income 18000 must constitute 45% of the total income , thus
18000 = 45% of X
X = 18000*100/45
X= 40000

Thus increase in Mary's income is 40000 - (18000+15000) = 7000.
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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 04 Feb 2014, 13:23 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?

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24 Jun 2014, 00:49
Let Mary's income increase by x.

(15000+x) /(33,000+x) = 55/100
x=7000
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Mary's annual income is $15000 and John's annual income is$18000. [#permalink]

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26 Mar 2015, 03:49
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 Math Expert Joined: 02 Sep 2009 Posts: 36618 Followers: 7103 Kudos [?]: 93595 [0], given: 10579 Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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26 Mar 2015, 03:52
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. _________________ Director Joined: 07 Aug 2011 Posts: 581 Concentration: International Business, Technology GMAT 1: 630 Q49 V27 Followers: 3 Kudos [?]: 406 [1] , given: 75 Re: Mary’s annual income is$15,000 and John’s annual income is [#permalink]

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26 Mar 2015, 04:36
1
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 $$\frac{15+7}{33+7}$$ = $$\frac{22}{40}$$ Answer 7000. C _________________ Thanks, Lucky _______________________________________________________ Kindly press the to appreciate my post !! GMAT Club Legend Joined: 09 Sep 2013 Posts: 13534 Followers: 577 Kudos [?]: 163 [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] 21 May 2016, 09:32 Similar topics Replies Last post Similar Topics: 2 In 2007, the arithmetic mean of the annual incomes of Jack and Jill 2 17 Dec 2016, 09:33 An employee’s annual salary was increased$15,000. If her new annual 3 10 Jan 2016, 07:01