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13 00:00

Difficulty:   55% (hard)

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

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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

### Show Tags

3
2
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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Posts: 9

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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? Cheers J SVP  Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1787 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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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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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 SVP  P Joined: 12 Dec 2016 Posts: 1524 Location: United States GMAT 1: 700 Q49 V33 GPA: 3.64 Re: Mary’s annual income is$15,000 and John’s annual income is  [#permalink]

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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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Joined: 02 Apr 2014
Posts: 473
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GMAT 1: 700 Q50 V34 GPA: 3.5

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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.

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.
SVP  V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1686
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 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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Posts: 9443
Location: Pune, India
Re: Mary’s annual income is $15,000 and John’s annual income is [#permalink] ### Show Tags 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. _________________ Karishma Veritas Prep GMAT Instructor Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Re: Mary’s annual income is$15,000 and John’s annual income is   [#permalink] 09 Jun 2019, 23:28
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