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

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

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

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New post 05 Mar 2014, 02:06
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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.
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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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New post 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%

= \(25000* \frac{100}{20}= 125000\)
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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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New post 05 Mar 2014, 21:15
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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  [#permalink]

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New post 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

Answer is (C)
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Re: As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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

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New post 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  [#permalink]

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New post 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:

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

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New post 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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New post 16 Jul 2017, 17:46
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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  [#permalink]

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New post 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  [#permalink]

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New post 08 Sep 2019, 06:31
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Bunuel wrote:
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


For the first payment method, she receives $35,000

Payment = annual salary of $10,000 plus a 20 percent commission on her total annual sales
Let x = Phyllis' annual sales
So: her payment = 10,000 + (20% of x)
Simplify: payment = 10,000 + 0.2x

What 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 = 35,000
Subtract 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,
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As a salesperson, Phyllis can choose one of two methods of a  [#permalink]

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New post 08 Sep 2019, 07:46
Bunuel wrote:
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!


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
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As a salesperson, Phyllis can choose one of two methods of a   [#permalink] 08 Sep 2019, 07:46
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