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# A sales staff is composed of a sales manager and two sales people, all

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Math Expert
Joined: 02 Sep 2009
Posts: 62287
A sales staff is composed of a sales manager and two sales people, all  [#permalink]

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11 Feb 2020, 03:06
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Difficulty:

45% (medium)

Question Stats:

66% (02:21) correct 34% (02:15) wrong based on 29 sessions

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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%

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Joined: 19 Jan 2020
Posts: 2
Location: Spain
Concentration: Finance, Strategy
Re: A sales staff is composed of a sales manager and two sales people, all  [#permalink]

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11 Feb 2020, 03:26
5000 total sales
1750 --> 35% over total sales
We subtract both 5% of the 2 salespeople
Remeaning: 25% > Sales manager

Intern
Joined: 01 Oct 2019
Posts: 9
Re: A sales staff is composed of a sales manager and two sales people, all  [#permalink]

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11 Feb 2020, 04:16
1
Each sales person earns 5 percent on total sales and there are 2 sales persons. So total commission earned by them--> 5000*5%*2= 500
Commission earned by the sales manager= 1750-500= 1250
Commission earned by the sales manager as a percentage of total sales= 1250/5000 = 25%
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Re: A sales staff is composed of a sales manager and two sales people, all  [#permalink]

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11 Feb 2020, 04:19
Bunuel wrote:
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%

commision of sales people ; .05*2*5000 ; 500
so left with ; 1750-500; 1250 commision which is of manager
i.e
1250/5000 ; 25%
IMO A
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Re: A sales staff is composed of a sales manager and two sales people, all  [#permalink]

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16 Feb 2020, 07:08
1
Bunuel wrote:
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%

We can let n = the percent commission rate of the sales manager. We create the equation:

5,000 x 0.05 + 5,000 x 0.05 + n/100 x 5,000 = 1750

250 + 250 + 50n = 1750

50n = 1250

n = 25

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Re: A sales staff is composed of a sales manager and two sales people, all   [#permalink] 16 Feb 2020, 07:08
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