February 20, 2019 February 20, 2019 08:00 PM EST 09:00 PM EST Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST February 21, 2019 February 21, 2019 10:00 PM PST 11:00 PM PST Kick off your 2019 GMAT prep with a free 7day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53020

A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
14 Jul 2015, 00:05
Question Stats:
74% (02:40) correct 26% (02:46) wrong based on 94 sessions
HideShow timer Statistics



CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2788
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
14 Jul 2015, 01:52
Bunuel wrote: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7week period?
A. $150 B. $245 C. $365 D. $715 E. $730
Kudos for a correct solution. Total Money Earned till now = 406+413+420+436+395 = 2070 Total Money to be earned in week to maintain average of 500 = 500*7 = 3500 Additional Money to be earned on remaining two days = 35002070 = 1430 Base salary of next two weeks = 350+350 = 700 Remaining money to be earned through commission = 1430700 = 730 Average Money per weeek to be earned through commission = 730/2 = 365 Answer: Option C
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Manager
Status: Perspiring
Joined: 15 Feb 2012
Posts: 90
Concentration: Marketing, Strategy
Schools: Wharton '17, Kellogg '17, Ross '17, Tuck '17, Duke '17, Anderson '17, Darden '17, Kelley '18 (S), McCombs '17, Tepper '17, KenanFlagler '17, LBS '17, Rotman '17, Jones '17, NUS '17
GPA: 3.6
WE: Engineering (Computer Software)

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
14 Jul 2015, 07:16
Another method is to go by options...
Total Money Earned till now = 406+413+420+436+395 = 2000 approx
 Picking option C first : 715$z Just by rough estimate you can see the total salary for these 2 weeks is 715*2 + 700 = 2130  (Total is far more than 3500)
 Picking option B : 245$ Just by rough estimate you can see the total salary for these 2 weeks is 245*2 + 700 = 1190  (Total is far less than 3500)
The only option in between is C. Hence C !!



Manager
Joined: 20 Jul 2011
Posts: 80

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
18 Jul 2015, 04:23
Bunuel wrote: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7week period?
A. $150 B. $245 C. $365 D. $715 E. $730
Kudos for a correct solution. Sum of commission for the seven weeks = 56+63+70+86+45+x+y = 150*7 (500  350 = 150) x+y = 1050  320 => x+y = 730 They have asked avg. of x+y => (x+y)/2 = 730/2 = $365. Option C



Director
Joined: 21 May 2013
Posts: 661

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
18 Jul 2015, 11:36
Bunuel wrote: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7week period?
A. $150 B. $245 C. $365 D. $715 E. $730
Kudos for a correct solution. Total weekly income over 5 weeks=$406+$413+$420+$436+$395=$2070 For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks=$3500 Now, $3500$2070=$1430 From this, we subtract base salary for 2 weeks i.e $350*2=$700 Therefore, commission=$1430$700=$730 for 2 weeks Avg weekly commission=$365 Answer C



Math Expert
Joined: 02 Sep 2009
Posts: 53020

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
19 Jul 2015, 12:30
Bunuel wrote: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7week period?
A. $150 B. $245 C. $365 D. $715 E. $730
Kudos for a correct solution. 800score Official Solution:We need to do this problem stepbystep. First, we add up the total income amounts for the past 5 weeks: $406 + $413 + $420 + $436 + $395 = $2070. To average $500 over 7 weeks, the salesman would need to earn: $500 × 7 = $3500. Subtract $2070 from $3500 to determine how much he would need to earn, in total, over the next 2 weeks to average $500 for the 7 weeks: $3500 – $2070 = $1430. Since he will earn $700 in base salary over the next two weeks, the commission he must earn in the next two weeks is: $1430 – $700 = $730. This is an average of $730/2 = $365 per week for these two weeks. The correct answer is choice (C).
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 01 Jun 2015
Posts: 10

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
20 Jul 2015, 16:19
We are looking for a 7 week average total income of $500 per week, or $150 plus $350 base.
The question does not ask about the base, so it can be ignored for now.
7 weeks * $150/week = $1,050
5 week commissions leading are 56+63+70+86+45 = $320
Total required  Earned so far = $1,050  $320 = $730
Weeks remaining is 2, therefore commission required per week is $365



CEO
Joined: 20 Mar 2014
Posts: 2629
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
15 Aug 2015, 08:49
Mascarfi wrote: A salesman's income consists of two components: commission and regular salary. His salary is $350 a week, and his goal is to make enough money from commissions to average $500 in total income per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What does he need to average (arithmetic mean) in commission income per week, over the next two weeks, to raise his average weekly income to $500 over the 7week period?
A. $150 B. $245 C. $365 D. $715 E. $730 Total of the 5 weeks = 406+413+420+436+395 = 2070. Total for the entire 7 week period = 500*7 = 3500 Thus the 2 remaining income totals = 35002070 = 1430, per week income total = 1430/2 = 715. So per week he needs to have an income total of = 715$ out of which 350 is his base income. Thus the commission = 715350 = 365$. C is the correct answer.



Board of Directors
Joined: 17 Jul 2014
Posts: 2587
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: A salesman's income consists of a commission and a base salary o
[#permalink]
Show Tags
09 Apr 2016, 18:11
Bunuel wrote: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7week period?
A. $150 B. $245 C. $365 D. $715 E. $730
Kudos for a correct solution. average for 7 weeks 500. total must be 3500 now, last 2 weeks base salary 350x2=700$ 406+413=819 420+436=856 819+856=1675+395 = 2070. 2070+700=2770. sum for $ received first 5 weeks + base salary last 2 weeks 35002770=730  must make in commission in last 2 weeks. 730/2 = 365 average commission/week must have C




Re: A salesman's income consists of a commission and a base salary o
[#permalink]
09 Apr 2016, 18:11






