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

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Each week a certain salesman is paid a fixed amount equal to [#permalink] New post 04 May 2011, 18:59
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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
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Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] New post 19 Apr 2012, 07:33
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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] New post 19 Sep 2013, 02:43
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Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] New post 19 Sep 2013, 04:03
Expert's post
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.

Answer: D.

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] 19 Sep 2013, 04:03
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