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# Each week a certain salesman is paid a fixed amount equal to

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Intern
Joined: 30 Mar 2011
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Schools: Virginia Tech
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Each week a certain salesman is paid a fixed amount equal to [#permalink]

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04 May 2011, 19:59
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Difficulty:

35% (medium)

Question Stats:

67% (01:55) correct 33% (01:09) wrong based on 73 sessions

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Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5% of his sales that week over$1000. 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% of the amount of his sales last week

(2) The salesman's sales last week totaled $5000 So I automatically know that 2 is sufficient. The OA is D, but I don't understand why 1 is sufficient. You don't know anything about his sales this week or last week unless you incorporate #2, which is already sufficient. OPEN DISCUSSION OF THIS QUESTION IS HERE: each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-136108.html [Reveal] Spoiler: OA Intern Joined: 10 Mar 2012 Posts: 1 Followers: 0 Kudos [?]: 2 [2] , given: 0 Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] ### Show Tags 19 Apr 2012, 08:33 2 This post received KUDOS aznboi986 wrote: Each week a certain salesman is paid a fixed amount equal to$300, plus a commission equal to 5% of his sales that week over $1000. 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% of the amount of his sales last week 2. The salesman's sales last week totaled$5000

So I automatically know that 2 is sufficient. The OA is D, but I don't understand why 1 is sufficient.
You don't know anything about his sales this week or last week unless you incorporate #2, which is already sufficient.

from 1 : You know that sales person has earned 10% of all the sales
300+5%(x-1000) = 10% x

and calculate the calculate the value of X and we can get the amount that he earned
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Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

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19 Sep 2013, 03:43
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Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

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19 Sep 2013, 05:03
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

All OG13 questions with solutions are here: the-official-guide-quantitative-question-directory-143450.html
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Re: Each week a certain salesman is paid a fixed amount equal to   [#permalink] 19 Sep 2013, 05:03
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