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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
2
8
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (01:42) correct 37% (01:50) wrong based on 403 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
1
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
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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
1
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
1
1
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
Re: Mary’s annual income is $15,000 and John’s annual income is   [#permalink] 07 Mar 2018, 12:15
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Mary’s annual income is $15,000 and John’s annual income is

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