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A sales staff is composed of a sales manager and two sales

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A sales staff is composed of a sales manager and two sales [#permalink] New post 15 Jan 2006, 02:02
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Question Stats:

76% (02:44) correct 24% (01:26) wrong based on 61 sessions
A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $1,750 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?

(A) 25%
(B) 30%
(C) 35%
(D) 40%
(E) 45%
[Reveal] Spoiler: OA
Director
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 [#permalink] New post 15 Jan 2006, 02:07
A for me.

Let managers comminsion rate be M.

m*5000+ 2*0.05*5000=1750
5000*m=1250
m=25/100=25%
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 [#permalink] New post 15 Jan 2006, 02:12
Good job Andy,

OA is a straight (A)
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 [#permalink] New post 15 Jan 2006, 08:32
Guys, I don't understand the method of solving. Don't we have to assume that manager's base for commissions X1 and sales persons' base x2. And x1+x2=5000, than x1*m+x2*0.05=1750. After that the problem does not have the solution. Why you multiply 5000 by m and by 0.05 when different employees can have different base for the commisions?
Please, explain what I am missing.
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 [#permalink] New post 15 Jan 2006, 09:43
each persons commission is a percentage of total sales = 5000.

now the 2 sales guys have 5% each

5% of 5000 = 250

therfore for 2 sales guys toalt commision = 2*250 = 500.

the ramaining commision is the managers .. as

1750 = M + S1 + S2

now s1 +s2 = 500 Therfore M = 1250.

1250 = X/100 0f (5000) therefore x = 25.
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Re: A sales staff is composed of a sales manager and two sales [#permalink] New post 27 Nov 2013, 00:22
Guys , another way of doing

First find 1750 is what % of 5000.
we get 35 %, then 2 sales people have 10 % (both 5% ) , then the remaining is 35%-10% = 25%( sales manager)

Hope you guys understood :)
Re: A sales staff is composed of a sales manager and two sales   [#permalink] 27 Nov 2013, 00:22
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