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Mary’s annual income is $15,000 and John’s annual income is

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Mary’s annual income is $15,000 and John’s annual income is [#permalink] New post 04 Mar 2013, 07:50
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49% (02:39) correct 49% (01:48) wrong based on 34 sessions
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] New post 04 Mar 2013, 08:02
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!
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Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] New post 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.

Answer: C.

Hope it helps.
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Re: Mary’s annual income is $15,000 and John’s annual income is   [#permalink] 04 Mar 2013, 12:09
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