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29 Dec 2014, 08:58
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:12) correct
19%
(02:29)
wrong
based on 491
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Not Attempted Yet
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 7-week period?
A. $570
B. $586
C. $630
D. $686
E. $715
Kudos for a correct solution.
29 Dec 2014, 10:28
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Before we look at what the salesman actually earned, let's think about how high the total income needs to be for the 500$ average he wants to reach. Over a seven-week 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.
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.
General Discussion
30 Dec 2014, 10:55
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Bunuel
Total of first 5 weeks = $2070
Expected total after seven weeks = 7*500 = $3500
Last two weeks income must be 3500-2070 = $1430 so that average of 7 weeks will be 500
Average last two weeks = 1430/2 = $715
