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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]

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New post 04 Mar 2013, 07:50
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A
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Question Stats:

64% (02:21) correct 36% (02:23) wrong based on 341 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

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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 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!
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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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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]

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New post 07 Jul 2013, 19:06
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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?

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]

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New post 04 Feb 2014, 14:23
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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


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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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 23 Jun 2014, 03:33
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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

Answer = C
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Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 24 Jun 2014, 01:49
Let Mary's income increase by x.

(15000+x) /(33,000+x) = 55/100
x=7000
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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 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
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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 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.
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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 07 Mar 2018, 12:15
Using weighted average method:

New Mary's income <--------45----------|---------55----->18K(John's)

Mary's new/Johns = 55/45
Mary's new = (11/9) * 18 = 22K
so increment must , 22000 - 15000 = 7000
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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 07 Jun 2019, 16:23
Bunuel wrote:
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.


How did you guys know that the language was referring to combined income after the increase? I originally referred to the combined income as 33, which then leads to 55% as $18,150. Thus leading me to believe, Mary's increase would be $3150 (which is obviously not right in this case). I want to avoid incorrect language interpretation in the GMAT for future questions.
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Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 08 Jun 2019, 10:18
FJ24 wrote:
Bunuel wrote:
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.


How did you guys know that the language was referring to combined income after the increase? I originally referred to the combined income as 33, which then leads to 55% as $18,150. Thus leading me to believe, Mary's increase would be $3150 (which is obviously not right in this case). I want to avoid incorrect language interpretation in the GMAT for future questions.


generis

I also have the same question in mind. I calculated 55% of $ 33000, and that comes out to be 18150.
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Re: Mary’s annual income is $15,000 and John’s annual income is  [#permalink]

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New post 09 Jun 2019, 23:28
FJ24 wrote:
Bunuel wrote:
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.


How did you guys know that the language was referring to combined income after the increase? I originally referred to the combined income as 33, which then leads to 55% as $18,150. Thus leading me to believe, Mary's increase would be $3150 (which is obviously not right in this case). I want to avoid incorrect language interpretation in the GMAT for future questions.


It is the logical result of increasing Mary's income.

Mary's income should constitute 55% of Mary and John’s combined income. If Mary's income is higher, Mary and John's combined income automatically is higher. You cannot say that their combined income stayed the same even though Mary's income increased.
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Re: Mary’s annual income is $15,000 and John’s annual income is   [#permalink] 09 Jun 2019, 23:28
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