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11 Nov 2012, 02:38
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Difficulty:

55% (hard)

Question Stats:

61% (03:06) correct 39% (01:42) wrong based on 153 sessions

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Rebecca's annual income is $15,000 and Jimmy's annual income is$18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 [Reveal] Spoiler: OA _________________ I will rather do nothing than be busy doing nothing - Zen saying Manager Joined: 02 Nov 2012 Posts: 95 Location: India Concentration: Entrepreneurship, Strategy WE: Other (Computer Software) Followers: 0 Kudos [?]: 45 [2] , given: 35 Re: Rebecca's annual income is$15,000 [#permalink]

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11 Nov 2012, 02:58
2
KUDOS
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is$18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 $$\frac{(15000+x)}{(15000+x+18000)}=0.55$$ Solve for x. You get $$x=7000$$ _________________ TH Give me +1 Kudos if my post helped! "Follow your passion. Change the world." Manager Joined: 02 Nov 2012 Posts: 95 Location: India Concentration: Entrepreneurship, Strategy WE: Other (Computer Software) Followers: 0 Kudos [?]: 45 [2] , given: 35 Re: Rebecca's annual income is$15,000 [#permalink]

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16 Nov 2012, 00:09
2
KUDOS
chibimoon wrote:
th03 wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is$18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 $$\frac{(15000+x)}{(15000+x+18000)}=0.55$$ Solve for x. You get $$x=7000$$ Why is that that Rebeca + jimmy's combined income is 15000 + X + 18000, shouldnt it be just 15k = 18k? Rebecca's existing income is$15,000. Let Rebecca's new income be $(15,000+x). This new income of$(15,000+x) constitues 55% of Rebecca and Jimmy's combined income.

Therefore Rebecca + Jimmy's income = Rebecca's new income + Jimmy's income = $(15,000+x) +$18,000

$$=> \frac{Rebecca'sNewIncome}{(Rebecca'sNewIncome + Jimmy'sIncome)}=55%$$

When Rebecca's income increases by x dollars, Rebecca and Jimmy's combined income also increases by x dollars. Does this make sense?
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] ### Show Tags 19 Oct 2015, 22:56 1 This post received KUDOS Expert's post egiles wrote: Pansi wrote: Rebecca's annual income is$15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income? (A)$3,000
(B) $4,000 (C)$7,000
(D) $11,000 (E)$25,000

In my opinion, the question is a bit misleading. The answer assumes the reader is combining Rebecca's new income with Jimmy's current income. The way I read the question is Rebecca's current income + Jimmy's current income (which leads to an answer of $3,150). Where is this from? From my perspective, this doesn't seem like a good question as there is ambiguity, although I may be missing something obvious. Actually, there is no ambiguity in this question. It is extremely logical that the total salary will consist of Rebecca's new salary. If Rebecca's new salary has to constitute 55% of their combined income, then obviously, their combined income includes her "new salary" only - there are no two ways about it. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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21 Oct 2015, 03:09
1
KUDOS
Expert's post
Let the increase in Rebecca's salary be $x Rebecca's new income =$15000 + x

15000 + x = (55/100)* (15000 + x + 18000)
15000 + x = 0.55x + 18150
0.45x = 3150
x = $7000 Option C _________________ Reach out to us at bondwithus@gmatify.com Intern Joined: 18 May 2012 Posts: 15 Followers: 0 Kudos [?]: 0 [0], given: 1 Re: Rebecca's annual income is$15,000 [#permalink]

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15 Nov 2012, 16:15
th03 wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is$18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 $$\frac{(15000+x)}{(15000+x+18000)}=0.55$$ Solve for x. You get $$x=7000$$ Why is that that Rebeca + jimmy's combined income is 15000 + X + 18000, shouldnt it be just 15k = 18k? Intern Joined: 18 May 2012 Posts: 15 Followers: 0 Kudos [?]: 0 [0], given: 1 Re: Rebecca's annual income is$15,000 and Jimmy's annual income [#permalink]

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16 Nov 2012, 11:16
yes thank you, guess i need to learn on how to read questions properly
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] ### Show Tags 16 Nov 2012, 18:32 Pansi wrote: Rebecca's annual income is$15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income? (A)$3,000
(B) $4,000 (C)$7,000
(D) $11,000 (E)$25,000

In my opinion, the question is a bit misleading. The answer assumes the reader is combining Rebecca's new income with Jimmy's current income. The way I read the question is Rebecca's current income + Jimmy's current income (which leads to an answer of $3,150). Where is this from? From my perspective, this doesn't seem like a good question as there is ambiguity, although I may be missing something obvious. Intern Joined: 18 May 2012 Posts: 15 Followers: 0 Kudos [?]: 0 [0], given: 1 Re: Rebecca's annual income is$15,000 and Jimmy's annual income [#permalink]

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16 Nov 2012, 23:25
egiles wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is$18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 In my opinion, the question is a bit misleading. The answer assumes the reader is combining Rebecca's new income with Jimmy's current income. The way I read the question is Rebecca's current income + Jimmy's current income (which leads to an answer of$3,150).

Where is this from? From my perspective, this doesn't seem like a good question as there is ambiguity, although I may be missing something obvious.

Yes, i agree, any tips on avoiding this mistake in the future please?
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25 Nov 2016, 05:48
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02 Dec 2016, 05:34
egiles wrote:
Pansi wrote:
Rebecca's annual income is $15,000 and Jimmy's annual income is$18,000. By how much must Rebecca's annual income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?

(A) $3,000 (B)$4,000
(C) $7,000 (D)$11,000
(E) $25,000 In my opinion, the question is a bit misleading. The answer assumes the reader is combining Rebecca's new income with Jimmy's current income. The way I read the question is Rebecca's current income + Jimmy's current income (which leads to an answer of$3,150).

Where is this from? From my perspective, this doesn't seem like a good question as there is ambiguity, although I may be missing something obvious.

Agreed. I made the same mistake.
Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] 02 Dec 2016, 05:34 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, 11:31 An employee’s annual salary was increased$15,000. If her new annual 5 17 May 2017, 13:41