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Sub 505 (Easy)|   Word Problems|                  
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Bunuel
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On 3 sales John has received commissions of $240, $80, and $110, and 10 Jan 2014, 07:06
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B
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Question Stats:

98% (00:56) correct 2% (01:35) wrong based on 1744 sessions

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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

The Official Guide For GMAT® Quantitative Review, 2ND Edition
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B
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On 3 sales John has received commissions of $240, $80, and $110, and 10 Jan 2014, 07:06
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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.
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On 3 sales John has received commissions of $240, $80, and $110, and 10 Jan 2014, 11:03
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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

Show more

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)
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On 3 sales John has received commissions of $240, $80, and $110, and 07 Aug 2014, 02:51
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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

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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
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On 3 sales John has received commissions of $240, $80, and $110, and 05 Jul 2016, 04:54
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[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.

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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
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On 3 sales John has received commissions of $240, $80, and $110, and 05 Jul 2016, 06:48
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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
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On 3 sales John has received commissions of $240, $80, and $110, and 16 Jan 2018, 10:58
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Bunuel
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
Show more

240 + 80 + 110 + x = 150*4

Or, 430 + x = 600

So, x = 170, answer will be (B)
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On 3 sales John has received commissions of $240, $80, and $110, and 26 Sep 2020, 13:09
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(240+80+110+x)/4=150
x=150*4 - 240 -80 -110 =170
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On 3 sales John has received commissions of $240, $80, and $110, and 20 Nov 2024, 04:01
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