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As a salesperson, Phyllis can choose one of two methods of a
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05 Mar 2014, 02:06
Question Stats:
94% (01:07) correct 6% (01:46) wrong based on 747 sessions
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The Official Guide For GMAT® Quantitative Review, 2ND EditionAs 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 ProjectEach 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!
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Re: As a salesperson, Phyllis can choose one of two methods of a
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05 Mar 2014, 02:06
SOLUTIONAs 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.
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Re: As a salesperson, Phyllis can choose one of two methods of a
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05 Mar 2014, 20:48
Answer = (C) $125,000 35000 = 10000 + 25000 We require to calculate sales which creates a commission of 25000 @ 20% = \(25000* \frac{100}{20}= 125000\)
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Re: As a salesperson, Phyllis can choose one of two methods of a
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05 Mar 2014, 21:15
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)



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Re: As a salesperson, Phyllis can choose one of two methods of a
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05 Mar 2014, 22:58
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
Answer is (C)



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Re: As a salesperson, Phyllis can choose one of two methods of a
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08 Mar 2014, 12:14
SOLUTIONAs 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.
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Re: As a salesperson, Phyllis can choose one of two methods of a
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22 Nov 2015, 10:39
Took me 45 seconds total.
35=10+(1/5)X 25*5 = 125



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Re: As a salesperson, Phyllis can choose one of two methods of a
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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. Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: As a salesperson, Phyllis can choose one of two methods of a
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05 Jul 2016, 07:12
[quote="Bunuel"] The Official Guide For GMAT® Quantitative Review, 2ND EditionAs 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 3500010000=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
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16 Jul 2017, 17:46
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
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As a salesperson, Phyllis can choose one of two methods of a
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24 Aug 2017, 01:34
Let X = Annual Sales
1. $10,000 + (.2 * X) = $35,000 2. .2x = $25,000 3. x = $125,000
Answer (C)



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