Each week a certain salesman is paid a fixed amount equal to : GMAT Data Sufficiency (DS)
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# Each week a certain salesman is paid a fixed amount equal to

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Joined: 25 Dec 2003
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Each week a certain salesman is paid a fixed amount equal to [#permalink]

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20 May 2004, 05:43
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Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5 percent of the amount of his sales that week over$1,000. What is the total amount the salesman was paid last week?

(1) The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.
(2) The salesman's sales last week totaled $5,000. OPEN DISCUSSION OF THIS QUESTION IS HERE: each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-136108.html [Reveal] Spoiler: OA _________________ Giving another SHOT SVP Joined: 30 Oct 2003 Posts: 1793 Location: NewJersey USA Followers: 5 Kudos [?]: 98 [0], given: 0 ### Show Tags 20 May 2004, 08:02 The answer is indeed D A) Let us say the sales were S dollars then 300 + 5/100 * ( S-1000) = 10/100 * S From this you can findout S. Once S is know the money made by the sales person can be found. B) is very obvious. SVP Joined: 16 Nov 2010 Posts: 1672 Location: United States (IN) Concentration: Strategy, Technology Followers: 33 Kudos [?]: 514 [0], given: 36 Re: Salesman gettin paid the big money $$[#permalink] ### Show Tags 04 May 2011, 19:11 Please see this : salesman-63319.html _________________ Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership - big benefits and savings VP Status: There is always something new !! Affiliations: PMI,QAI Global,eXampleCG Joined: 08 May 2009 Posts: 1353 Followers: 17 Kudos [?]: 240 [1] , given: 10 Re: Salesman gettin paid the big money$$ [#permalink] ### Show Tags 04 May 2011, 19:22 1 This post received KUDOS a. let the sales be x for last week. thus 300+ 0.05(x-1000) = 0.1x will give the value of x and hence the payment. b direct answer. thus D. _________________ Visit -- http://www.sustainable-sphere.com/ Promote Green Business,Sustainable Living and Green Earth !! Current Student Status: Everyone is a leader. Just stop listening to others. Joined: 22 Mar 2013 Posts: 992 Location: India GPA: 3.51 WE: Information Technology (Computer Software) Followers: 164 Kudos [?]: 1466 [0], given: 227 Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] ### Show Tags 09 Sep 2013, 00:56 #In this question I think we should not ignore two following possible cases: 1. Salesman's sales fewer than 1000. 2. Or above 1000. 1. Formula would be 300 = 10% of sales, i.e sales=3000, which is not possible against 300 dollars for this DS. question. 2. above 1000, i.e 300 + 0.05 (S-1000) = 0.01S which is sufficient to give answer. My emphasis is on a scenario: modified statement 1 : Sales man income was 50% of his total sale. In that case both cases will produce different permissible values for S, which we should keep in mind. 1. S=600. 2. S=555.55 approx and that will make statement 1 insufficient. For stem question, answer D is right. _________________ Piyush K ----------------------- Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison Don't forget to press--> Kudos My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New) Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction". Math Expert Joined: 02 Sep 2009 Posts: 36597 Followers: 7093 Kudos [?]: 93448 [2] , given: 10563 Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] ### Show Tags 09 Sep 2013, 01:03 2 This post received KUDOS Expert's post 2 This post was BOOKMARKED Each week a certain salesman is paid a fixed amount equal to$300, plus a commission equal to 5 percent of the amount of his sales that week over $1,000. What is the total amount the salesman was paid last week? Say S is the amount of his sales that week, then: If $$S\leq{1,000}$$, salesman's profit is $$300$$; If $$S>1,000$$, salesman's profit is $$300+(S-1,000)*0.05$$. So, no penalties there, just two cases for the profit: if $$S\leq{1,000}$$ then the profit is simply$300 and if $$S>1,000$$, then the profit is $$300+(S-1,000)*0.05$$.

(1) The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week. Given: $$profit=0.1*S$$. It's clear that S must be greater than $1,000, so we have that $$300+(S-1,000)*0.05=0.1S$$. We can calculate S, hence calculate the profit. Sufficient. (2) The salesman's sales last week totaled$5,000. Directly gives the value of S, hence calculate the profit. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-136108.html
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Re: Each week a certain salesman is paid a fixed amount equal to   [#permalink] 09 Sep 2013, 01:03
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