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29 Dec 2014, 07:58
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Difficulty:

25% (medium)

Question Stats:

74% (01:32) correct 26% (01:42) wrong based on 235 sessions

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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. _________________ Manager Joined: 22 Oct 2014 Posts: 88 Concentration: General Management, Sustainability GMAT 1: 770 Q50 V45 GPA: 3.8 WE: General Management (Consulting) Re: A salesman's income consists of a commission and a base salary of$350  [#permalink]

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29 Dec 2014, 09:28
1
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.
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Re: A salesman's income consists of a commission and a base salary of $350 [#permalink] Show Tags 30 Dec 2014, 09:55 1 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 7-week 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 3500-2070 = $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 [#permalink] Show Tags 30 Dec 2014, 19:14 1 Answer = E.$715

Total 5 week's income = 400*5 + 36+19+20+36-5 = 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 = 3500-2070 = 1430

x = 715
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Re: A salesman's income consists of a commission and a base salary of $350 [#permalink] Show Tags 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 7-week 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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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 7-week 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 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Non-Human User Joined: 09 Sep 2013 Posts: 8816 Re: A salesman's income consists of a commission and a base salary of$350  [#permalink]

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