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# As a salesperson, Phyllis can choose one of two methods of a

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Math Expert
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Posts: 55267
As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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05 Mar 2014, 02:06
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000 with no commission or an annual salary of$10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method?

(A) $100,000 (B)$120,000
(C) $125,000 (D)$130,000
(E) $132,000 Problem Solving Question: 127 Category: Algebra Applied problems Page: 78 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! _________________ Math Expert Joined: 02 Sep 2009 Posts: 55267 Re: As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 05 Mar 2014, 02:06 1 SOLUTION As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of$35,000 with no commission or an annual salary of $10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method? (A)$100,000
(B) $120,000 (C)$125,000
(D) $130,000 (E)$132,000

35,000 = 10,000 + 0.2*x --> x = 125,000.

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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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05 Mar 2014, 20:48
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Answer = (C) $125,000 35000 = 10000 + 25000 We require to calculate sales which creates a commission of 25000 @ 20% = $$25000* \frac{100}{20}= 125000$$ _________________ Kindly press "+1 Kudos" to appreciate Manager Status: GMATting Joined: 21 Mar 2011 Posts: 105 Concentration: Strategy, Technology GMAT 1: 590 Q45 V27 Re: As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 05 Mar 2014, 21:15 2 1st method of annual payment = 35,000 + no commission = 35,000 2nd method of annual payment = 10,000 + 1/5TS, where TS is Total Sales Since the annual pay is the same, as per the question, we can equate the 2 equations: 35,000 = 10,000 + 1/5 TS 1/5 TS = 25,000 TS = 125,000 Ans is (C) Intern Joined: 03 Aug 2012 Posts: 19 Location: United States (OR) Concentration: Finance, International Business GPA: 3.53 WE: Analyst (Entertainment and Sports) Re: As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 05 Mar 2014, 22:58 1 Option #1: Annual Salary (A) =$35,000

Option #2:

Annual Salary (A) = $10,000 + .2 * Total Sales (S) Solution: Step 1 -->$35,000 = $10,000 + (1/5)S Step 2 -->$25,000 = (1/5)S
Step 3 --> $25,000(5/1) = S Step 4 -->$125,000 = S

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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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08 Mar 2014, 12:14
SOLUTION

As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000 with no commission or an annual salary of$10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method?

(A) $100,000 (B)$120,000
(C) $125,000 (D)$130,000
(E) $132,000 35,000 = 10,000 + 0.2*x --> x = 125,000. Answer: C. _________________ Manager Joined: 05 Jul 2015 Posts: 98 Concentration: Real Estate, International Business GMAT 1: 600 Q33 V40 GPA: 3.3 Re: As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 22 Nov 2015, 10:39 Took me 45 seconds total. 35=10+(1/5)X 25*5 = 125 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 14197 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 25 Nov 2015, 15:51 Hi All, This question can be solved by TESTing THE ANSWERS. From the information in the prompt, we're looking for a sales total that, when we take 20% of it, gives us$25,000. While this can be solved algebraically, we do have 5 answer choices to use as reference.

Let's TEST Answer B...

If Sales = $120,000 20% of$120,000 = (1/5)(120,000) = 24,000
This is remarkably close, but it's just a little TOO SMALL...

Let's TEST Answer C...

If Sales = $125,000 20% of$125,000 = (1/5)(125,000) = 25,000
This is an exact MATCH for what we were looking for, so this MUST be the answer.

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Rich
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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Intern Joined: 20 Oct 2015 Posts: 36 Re: As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 05 Jul 2016, 07:12 [quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of$35,000 with no commission or an annual salary of $10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method? (A)$100,000
(B) $120,000 (C)$125,000
(D) $130,000 (E)$132,000

35000-10000=25000

25000=20% * x

x=25000 / 20% = 125000
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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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16 Jul 2017, 17:46
1
Bunuel wrote:

As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000 with no commission or an annual salary of$10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method?

(A) $100,000 (B)$120,000
(C) $125,000 (D)$130,000
(E) $132,000 We can let total annual sales = x and create the following equation: 35,000 = 10,000 + 0.2x 25,000 = 0.2x 125,000 = x Answer: C _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 122 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Manager Joined: 21 Jun 2017 Posts: 83 As a salesperson, Phyllis can choose one of two methods of a [#permalink] ### Show Tags 24 Aug 2017, 01:34 Let X = Annual Sales 1.$10,000 + (.2 * X) = $35,000 2. .2x =$25,000
3. x = \$125,000

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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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17 Sep 2018, 14:09
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Re: As a salesperson, Phyllis can choose one of two methods of a   [#permalink] 17 Sep 2018, 14:09
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# As a salesperson, Phyllis can choose one of two methods of a

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