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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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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


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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
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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Collection of Questions:
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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
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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)

Kudos [?]: 14 [1], given: 8

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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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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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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:
[Reveal] Spoiler:
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 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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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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As a salesperson, Phyllis can choose one of two methods of a   [#permalink] 24 Aug 2017, 01:34
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