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Each week a certain salesman is paid a fixed amount equal to [#permalink]
21 Jul 2012, 11:30

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

60% (02:14) correct
40% (01:06) wrong based on 411 sessions

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.

OG says answer is D. I am confused with their explanation for the statement 1. profit = .10Sales and profit = 300 + 0.05(S-1000). And thats how they solve both the equations.

What i don't understand is what if Sale for that week is 500 or less than 1000. He doesn't earn any commission and there isn't any statement which says that he has a penalty. So ideally it should be only 300. But above with above equation he will earn less than 300. Can someone please explain !!!

Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]
22 Jul 2012, 02:54

3

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Expert's post

1

This post was BOOKMARKED

summer101 wrote:

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.

OG says answer is D. I am confused with their explanation for the statement 1. profit = .10Sales and profit = 300 + 0.05(S-1000). And thats how they solve both the equations.

What i don't understand is what if Sale for that week is 500 or less than 1000. He doesn't earn any commission and there isn't any statement which says that he has a penalty. So ideally it should be only 300. But above with above equation he will earn less than 300. Can someone please explain !!!

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.

Kindly advise what if the sales were less than USD 1000 , lets say the sales of a last week were USD 800. How to check sufficiency of A then ??

Statements 1 and 2 in DS never contradict each other.

For explanation sake how to confirm statement 1 without any help from statement 2. Case being sales less than USD 1000. I might be missing something but I would certainly like to know how to make statement 1 sufficient without any help from statement 2.

Re: Each week a certain salesman is made a fixed amount equal to [#permalink]
13 Apr 2013, 09:35

2

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For your what if scenario the answer is as follows -

Amount from the commission would be 0 and salesman would have made last week only $300. Typically in GMAT you take the question and statements as facts.

//kudos please, if the above explanation is good. _________________

For explanation sake how to confirm statement 1 without any help from statement 2. Case being sales less than USD 1000. I might be missing something but I would certainly like to know how to make statement 1 sufficient without any help from statement 2.

Maybe I don't understand what you are trying to say...

However from the text we can create the formula for the tot amount \(x=300+5%(Sales-1000)\) Lets esamine statement 1:the total amount the salesman was paid last week is equal to 10 percent of the amount of these sales last week \(x=10%Sales\) and we don't know nothing else, I haven't read stetement 2 and I cannot hypothesize the case with Sales<1000$ (there is no reason to do so, I have to take into consideration what the text says and nothing else). \(300+0.05(S-1000)=0.1S\) do some math and obtain the tot sales \(S = 5000\) Sufficient. I haven't read st 2 and I am able to answer, your "Case being sales less than USD 1000" is a consideration that goes against the info in the text. When you answer a question stick to the text: don't make any hypothesis that could compromize the answer.

Hope that I have answered your question, let me know _________________

It is beyond a doubt that all our knowledge that begins with experience.

For explanation sake how to confirm statement 1 without any help from statement 2. Case being sales less than USD 1000. I might be missing something but I would certainly like to know how to make statement 1 sufficient without any help from statement 2.

Maybe I don't understand what you are trying to say...

However from the text we can create the formula for the tot amount \(x=300+5%(Sales-1000)\) Lets esamine statement 1:the total amount the salesman was paid last week is equal to 10 percent of the amount of these sales last week \(x=10%Sales\) and we don't know nothing else, I haven't read stetement 2 and I cannot hypothesize the case with Sales<1000$ (there is no reason to do so, I have to take into consideration what the text says and nothing else). \(300+0.05(S-1000)=0.1S\) do some math and obtain the tot sales \(S = 5000\) Sufficient. I haven't read st 2 and I am able to answer, your "Case being sales less than USD 1000" is a consideration that goes against the info in the text. When you answer a question stick to the text: don't make any hypothesis that could compromize the answer.

Hope that I have answered your question, let me know

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