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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
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94% (01:07) correct 6% (01:38) wrong based on 642 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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Re: As a salesperson, Phyllis can choose one of two methods of a
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08 Sep 2019, 06:31
Bunuel wrote: 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 For the first payment method, she receives $35,000Payment = annual salary of $10,000 plus a 20 percent commission on her total annual salesLet x = Phyllis' annual sales So: her payment = 10,000 + (20% of x) Simplify: payment = 10,000 + 0.2xWhat must her total annual sales be to give her the same annual pay with either method?If the two amounts are EQUAL, we can write: 10,000 + 0.2x = 35,000Subtract 10,000 from both sides to get: 0.2x = 25,000 Solve: x = 25,000/0.2 = = 250,000/2 = 125,000 Answer: C Cheers, Brent
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As a salesperson, Phyllis can choose one of two methods of a
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08 Sep 2019, 07:46
Bunuel wrote: 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! Given : 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. Asked: What must her total annual sales be to give her the same annual pay with either method? Let the annual sales required to give her the same annual pay with either method be x 35000 = 10000 + .2 x x = 25000/.2 = $125,000 IMO C




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