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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 20 May 2004, 05:43
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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?

(1) The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.
(2) The salesman's sales last week totaled $5,000.

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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 [#permalink] New post 20 May 2004, 08:02
The answer is indeed D

A) Let us say the sales were S dollars then
300 + 5/100 * ( S-1000) = 10/100 * S
From this you can findout S. Once S is know the money made by the sales person can be found.

B) is very obvious.
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Re: Salesman gettin paid the big money $$ [#permalink] New post 04 May 2011, 19:11
Please see this :

salesman-63319.html
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Re: Salesman gettin paid the big money $$ [#permalink] New post 04 May 2011, 19:22
a. let the sales be x for last week.

thus 300+ 0.05(x-1000) = 0.1x

will give the value of x and hence the payment.

b direct answer.

thus D.
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Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] New post 09 Sep 2013, 00:56
#In this question I think we should not ignore two following possible cases:
1. Salesman's sales fewer than 1000.
2. Or above 1000.

1. Formula would be 300 = 10% of sales, i.e sales=3000, which is not possible against 300 dollars for this DS. question.
2. above 1000, i.e 300 + 0.05 (S-1000) = 0.01S which is sufficient to give answer.

My emphasis is on a scenario: modified statement 1 : Sales man income was 50% of his total sale.

In that case both cases will produce different permissible values for S, which we should keep in mind.
1. S=600.
2. S=555.55 approx and that will make statement 1 insufficient.

For stem question, answer D is right.
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Re: Each week a certain salesman is paid a fixed amount equal to [#permalink] New post 09 Sep 2013, 01:03
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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] 09 Sep 2013, 01:03
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