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

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

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New post 16 Oct 2017, 01:22
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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???
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Re: A sales person earns as commission 5% on all sales between $ 2000 and [#permalink]

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New post 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.

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

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New post 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?

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

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

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New post 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.

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

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New post 16 Oct 2017, 01:58
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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.

Practice quality questions: https://gmatclub.com/forum/search.php?view=search_tags Poor quality questions are waste of time.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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

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New post 17 Oct 2017, 10:53
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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

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