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Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] ### Show Tags 11 Nov 2012, 01:38 3 This post was BOOKMARKED 00:00 Difficulty: 55% (hard) Question Stats: 62% (03:07) correct 38% (01:41) wrong based on 149 sessions ### HideShow timer Statistics 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

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Re: Rebecca's annual income is $15,000 [#permalink] ### Show Tags 11 Nov 2012, 01:58 2 This post received 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 $$x=7000$$
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Re: Rebecca's annual income is $15,000 [#permalink] ### Show Tags 15 Nov 2012, 23:09 2 This post received 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? _________________ TH Give me +1 Kudos if my post helped! "Follow your passion. Change the world." Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7130 Location: Pune, India Followers: 2140 Kudos [?]: 13706 [1] , given: 222 Re: Rebecca's annual income is$15,000 and Jimmy's annual income [#permalink]

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19 Oct 2015, 21:56
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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.
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Intern Joined: 05 Jan 2015 Posts: 1 Followers: 0 Kudos [?]: 1 [1] , given: 55 Rebecca's annual income is$15,000 and Jimmy's annual income [#permalink]

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20 Oct 2015, 12:09
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I think a quick way to solve is to pick the middle answer and try:

c) 7000:
Total becca new = 7000+15000 = 22000
Total new all = 7000+15000+18000 = 40000

22000/40000 = 0,55 * 100 = 55%, Bazinga!

(22000/40000 = 220/400 --> /4 = 55/100= 55%)

NOTE: Now this is a first try lucky shot, if the answer was lower than 0,55 --> eliminate A,B,C --> try D or E
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] ### Show Tags 21 Oct 2015, 02:09 1 This post received KUDOS Expert's post Let the increase in Rebecca's salary be$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
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Re: Rebecca's annual income is $15,000 [#permalink] ### Show Tags 15 Nov 2012, 15:15 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?
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16 Nov 2012, 17:32
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.
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] ### Show Tags 16 Nov 2012, 22:25 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? GMAT Club Legend Joined: 09 Sep 2013 Posts: 13528 Followers: 577 Kudos [?]: 163 [0], given: 0 Re: Rebecca's annual income is$15,000 and Jimmy's annual income [#permalink]

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30 Nov 2016, 23:15
Quick way to go through options. In order to be 55% of combined salary share of Rebecca, it shoul be higher than salary of Jimmy which is 18,000.
so i picked b and c in which I got C as correct ans
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Re: Rebecca's annual income is $15,000 and Jimmy's annual income [#permalink] ### Show Tags 02 Dec 2016, 04:34 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, 04:34
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