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A salesman's income consists of a commission and a base salary of $350
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29 Dec 2014, 07:58
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74% (01:32) correct 26% (01:42) wrong based on 235 sessions
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Re: A salesman's income consists of a commission and a base salary of $350
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29 Dec 2014, 09:28
Before we look at what the salesman actually earned, let's think about how high the total income needs to be for the 500$ average he wants to reach. Over a sevenweek period and an average of $500, the total income needs to be $3500 or higher. In the past 5 weeks, the salesperson earned a total of $2070. That means that in the last 2 weeks, the salesman needs to earn the remaining $1430, or in average $715 per week. Answer E.
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Re: A salesman's income consists of a commission and a base salary of $350
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30 Dec 2014, 09:55
Bunuel wrote: Tough and Tricky questions: Word Problems. A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next two weeks be to increase his average weekly income to $500 over the 7week period? A. $570 B. $586 C. $630 D. $686 E. $715 Kudos for a correct solution.Total of first 5 weeks = $2070 Expected total after seven weeks = 7*500 = $3500 Last two weeks income must be 35002070 = $1430 so that average of 7 weeks will be 500 Average last two weeks = 1430/2 = $715
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Re: A salesman's income consists of a commission and a base salary of $350
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30 Dec 2014, 19:14
Answer = E. $715 Total 5 week's income = 400*5 + 36+19+20+365 = 2070 Setting up the equation Say "x" is the mean for the 2 months to achieve 500 average for 7 weeks \(\frac{2070 + 2x}{7} = 500\) 2x = 35002070 = 1430 x = 715
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Re: A salesman's income consists of a commission and a base salary of $350
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08 Jan 2015, 07:17
Bunuel wrote: Tough and Tricky questions: Word Problems. A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next two weeks be to increase his average weekly income to $500 over the 7week period? A. $570 B. $586 C. $630 D. $686 E. $715 Kudos for a correct solution. OFFICIAL SOLUTION:(E) First, we need to add up the wages over 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. Dividing $1430 by 2 will give us the amount he needs to earn on average over the next 2 weeks: $1430/2 = $715. The correct answer is choice (E).
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Re: A salesman's income consists of a commission and a base salary of $350
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02 Jul 2017, 07:45
What i did was to see how can i balance out the total of the shortage of the weekly average from 500 to twice the excess of weekly average of the two unknown weeks.
Therefore, \(105+64+80+87+94=430\) It clearly shows that Option E having a \(215\) excess income will serve the point. \(2*215=430\)
Therefore, option E.



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Re: A salesman's income consists of a commission and a base salary of $350
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02 Jul 2017, 07:55
Bunuel wrote: Tough and Tricky questions: Word Problems. A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next two weeks be to increase his average weekly income to $500 over the 7week period? A. $570 B. $586 C. $630 D. $686 E. $715 Kudos for a correct solution.Or, \(406+413+420+436+395+(a+b) = 500*7\) Or, \(2070 + (a+b) = 3500\) Or, \(a + b = 1430\) Thus, average of a + b will be \(\frac{1430}{2} = 715\) Hence, the correct answer must be (E) 715
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Re: A salesman's income consists of a commission and a base salary of $350
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27 Oct 2018, 11:27
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