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A sales person earns as commission 5% on all sales between \$ 2000 and

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Joined: 10 Jun 2017
Posts: 5
A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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16 Oct 2017, 01:22
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Difficulty:

45% (medium)

Question Stats:

60% (01:53) correct 40% (02:00) wrong based on 71 sessions

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A sales person earns as commission 5% on all sales between \$ 2000 and 6000, and 8% on all sales over \$6000. If in a week his commission is \$460, what were his total sales?

(A)8000

(B)9000

(C)10000

(D)12000

(E) None of these.

Isn't the answer supposed to be E???
Math Expert
Joined: 02 Sep 2009
Posts: 50572
Re: A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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16 Oct 2017, 01:37
RockySinha wrote:
A sales person earns as commission 5% on all sales between \$ 2000 and 6000, and 8% on all sales over \$6000. If in a week his commission is \$460, what were his total sales?

(A)8000

(B)9000

(C)10000

(D)12000

(E) None of these.

Isn't the answer supposed to be E???

Say the sales for that week were \$x, then:

0.05*6000 + 0.08*(x - 6000) = 460;
x = 8,000.

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Intern
Joined: 10 Jun 2017
Posts: 5
Re: A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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16 Oct 2017, 01:44
Well thanks for the reply. I admire your answer always. I have a confusion about the start of the commission. I mean 5% is supposed to start from 2000. so wouldn't 0.05 be multiplied after 2000. I mean 0.05* \$4000?
Math Expert
Joined: 02 Sep 2009
Posts: 50572
Re: A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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16 Oct 2017, 01:49
RockySinha wrote:
Well thanks for the reply. I admire your answer always. I have a confusion about the start of the commission. I mean 5% is supposed to start from 2000. so wouldn't 0.05 be multiplied after 2000. I mean 0.05* \$4000?

The stem says that if a sale is between \$2000 and \$6000, the commission is 5% of that sales. So, for example, if sale = \$4,000, then commission = \$200.

Anyway, the wording is not perfect so what is the source?
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Posts: 5
Re: A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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16 Oct 2017, 01:55
I am doing an admission course for MBA. I got a lecture sheet from there where this problem was given like this. So if it is written like this, then is the answer A? I fond the answer as \$9250 (E) the way I wanted to explain to you.
Math Expert
Joined: 02 Sep 2009
Posts: 50572
Re: A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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16 Oct 2017, 01:58
RockySinha wrote:
I am doing an admission course for MBA. I got a lecture sheet from there where this problem was given like this. So if it is written like this, then is the answer A? I fond the answer as \$9250 (E) the way I wanted to explain to you.

Yes.

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Re: A sales person earns as commission 5% on all sales between \$ 2000 and  [#permalink]

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17 Oct 2017, 10:53
1
RockySinha wrote:
A sales person earns as commission 5% on all sales between \$ 2000 and 6000, and 8% on all sales over \$6000. If in a week his commission is \$460, what were his total sales?

(A)8000

(B)9000

(C)10000

(D)12000

(E) None of these.

Since the salesperson earned more than 0.05 x 6000 = 300 dollars, his total sales were more than 6000 dollars.

Now we can let x = his total sales; thus:

0.05(6000) + 0.08(x - 6000) = 460

300 + 0.08x - 480 = 460

0.08x - 180 = 460

0.08x = 640

x = 640/0.08 = 64,000/8 = 8,000

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Re: A sales person earns as commission 5% on all sales between \$ 2000 and &nbs [#permalink] 17 Oct 2017, 10:53
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A sales person earns as commission 5% on all sales between \$ 2000 and

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