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10 Jan 2014, 07:06
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

On 3 sales John has received commissions of $240,$80, and $110, and he has 1 additional sale pending. If John is to receive an average (arithmetic mean) commission of exactly$150 on the 4 sales, then the 4th commission must be

(A) $164 (B)$170
(C) $175 (D)$182
(E) $185 Problem Solving Question: 32 Category: Arithmetic Statistics Page: 66 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: 49271 Re: On 3 sales John has received commissions of$240, $80, and$  [#permalink]

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10 Jan 2014, 07:06
SOLUTION

On 3 sales John has received commissions of $240,$80, and $110, and he has 1 additional sale pending. If John is to receive an average (arithmetic mean) commission of exactly$150 on the 4 sales, then the 4th commission must be

(A) $164 (B)$170
(C) $175 (D)$182
(E) $185 $$\frac{240+80+110+x}{4}=150$$ --> solving for x gives: x=170. Answer: B. _________________ Director Joined: 03 Feb 2013 Posts: 892 Location: India Concentration: Operations, Strategy GMAT 1: 760 Q49 V44 GPA: 3.88 WE: Engineering (Computer Software) Re: On 3 sales John has received commissions of$240, $80, and$  [#permalink]

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10 Jan 2014, 11:03
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

On 3 sales John has received commissions of $240,$80, and $110, and he has 1 additional sale pending. If John is to receive an average (arithmetic mean) commission of exactly$150 on the 4 sales, then the 4th commission must be

(A) $164 (B)$170
(C) $175 (D)$182
(E) $185 Instead of adding all and making calculation messy, lets work on difference. We need to have 150 as average, so 1st value = +90 2nd value = -70 3rd value = -40 adding all the difference = -20, so the 4th value should compensate for -20 by adding +20 to 150 which is 170. Option B) _________________ Thanks, Kinjal My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961 Linkedin : https://www.linkedin.com/in/kinjal-das/ Please click on Kudos, if you think the post is helpful SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1834 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: On 3 sales John has received commissions of$240, $80, and$  [#permalink]

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07 Aug 2014, 02:51
1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

On 3 sales John has received commissions of $240,$80, and $110, and he has 1 additional sale pending. If John is to receive an average (arithmetic mean) commission of exactly$150 on the 4 sales, then the 4th commission must be

(A) $164 (B)$170
(C) $175 (D)$182
(E) $185 Problem Solving Question: 32 Category: Arithmetic Statistics Page: 66 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! Just observe the numbers provided All commissions are multiples of 10; average is also multiple of 10 So the 4th commission would also be multiple of 10 Only 170 fits in Answer = B _________________ Kindly press "+1 Kudos" to appreciate Intern Joined: 20 Oct 2015 Posts: 38 Re: On 3 sales John has received commissions of$240, $80, and$  [#permalink]

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05 Jul 2016, 04:54
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

On 3 sales John has received commissions of $240,$80, and $110, and he has 1 additional sale pending. If John is to receive an average (arithmetic mean) commission of exactly$150 on the 4 sales, then the 4th commission must be

(A) $164 (B)$170
(C) $175 (D)$182
(E) $185 Problem Solving Question: 32 Category: Arithmetic Statistics Page: 66 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! [/quote) (140+50+240+x)/(4)=150 600=430+x x=170 Senior Manager Joined: 02 Mar 2012 Posts: 327 Schools: Schulich '16 Re: On 3 sales John has received commissions of$240, $80, and$  [#permalink]

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05 Jul 2016, 06:48
1
B-170

one more method:TAKING RELATIVES

take avg =150

so $240is +90 more than average,$80is -70 less than average , and $110 is -40 less than average so in total=+90-70-40=-20 so in order to compensate we need 20 more than the average we took for relative measure i.e 150, so answer=150+20=170 hope it helps Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4022 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: On 3 sales John has received commissions of$240, $80, and$  [#permalink]

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16 Jan 2018, 10:58
Bunuel wrote:
On 3 sales John has received commissions of $240,$80, and $110, and he has 1 additional sale pending. If John is to receive an average (arithmetic mean) commission of exactly$150 on the 4 sales, then the 4th commission must be

(A) $164 (B)$170
(C) $175 (D)$182
(E) $185 240 + 80 + 110 + x = 150*4 Or, 430 + x = 600 So, x = 170, answer will be (B) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Re: On 3 sales John has received commissions of$240, $80, and$ &nbs [#permalink] 16 Jan 2018, 10:58
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