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A salesman's income consists of a commission and a base salary o
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14 Jul 2015, 00:05
Question Stats:
72% (02:40) correct 28% (02:53) wrong based on 91 sessions
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Re: A salesman's income consists of a commission and a base salary o
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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. $730
Kudos for a correct solution. Total Money Earned till now = 406+413+420+436+395 = 2070 Total Money to be earned in week to maintain average of 500 = 500*7 = 3500 Additional Money to be earned on remaining two days = 35002070 = 1430 Base salary of next two weeks = 350+350 = 700 Remaining money to be earned through commission = 1430700 = 730 Average Money per weeek to be earned through commission = 730/2 = 365 Answer: Option C
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Re: A salesman's income consists of a commission and a base salary o
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14 Jul 2015, 07:16
Another method is to go by options...
Total Money Earned till now = 406+413+420+436+395 = 2000 approx
 Picking option C first : 715$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 !!



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Re: A salesman's income consists of a commission and a base salary o
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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



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Re: A salesman's income consists of a commission and a base salary o
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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



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Re: A salesman's income consists of a commission and a base salary o
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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).
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Re: A salesman's income consists of a commission and a base salary o
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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



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Re: A salesman's income consists of a commission and a base salary o
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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.



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Re: A salesman's income consists of a commission and a base salary o
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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 &nbs
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