Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Each week a certain salesman is paid a fixed amount equal to [#permalink]

Show Tags

21 Jul 2012, 12:30

12

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

61% (02:14) correct
39% (01:06) wrong based on 822 sessions

HideShow timer Statistics

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?

(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]

Show Tags

13 Apr 2013, 10:35

2

This post received KUDOS

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

Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

Show Tags

04 Aug 2015, 10:32

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

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.

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.

Merging topics.

Please refer to the discussion above. _________________

Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

Show Tags

23 Oct 2015, 23:04

In a data sufficiency question is it necessary for both the statements to return the same unique value ? I was going through another post of the same question , in which PiyushK has provided a new statement :modified statement 1 : Sales man income was 50% of his total sale. The below is the link to the question- each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-6616.html

Experts please help!! _________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford +1 Kudos if you find this post helpful

In a data sufficiency question is it necessary for both the statements to return the same unique value ? I was going through another post of the same question , in which PiyushK has provided a new statement :modified statement 1 : Sales man income was 50% of his total sale. The below is the link to the question- each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-6616.html

Experts please help!!

Yes, both the statements are a part of the same question. One cannot return that x is 2 if the other says that x is 7. In one question, x can take only one unique value. So if both statements are giving you a unique value, the value will be the same. If it isn't, it means you have made a mistake somewhere. Of course, it is possible that one statement gives you a bunch of possible values for x and the other gives you a unique value but obviously, the unique value would be a part of the bunch of values given by the other statement. _________________

Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

Show Tags

25 Oct 2015, 23:38

VeritasPrepKarishma wrote:

skywalker18 wrote:

In a data sufficiency question is it necessary for both the statements to return the same unique value ? I was going through another post of the same question , in which PiyushK has provided a new statement :modified statement 1 : Sales man income was 50% of his total sale. The below is the link to the question- each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-6616.html

Experts please help!!

Yes, both the statements are a part of the same question. One cannot return that x is 2 if the other says that x is 7. In one question, x can take only one unique value. So if both statements are giving you a unique value, the value will be the same. If it isn't, it means you have made a mistake somewhere. Of course, it is possible that one statement gives you a bunch of possible values for x and the other gives you a unique value but obviously, the unique value would be a part of the bunch of values given by the other statement.

"Of course, it is possible that one statement gives you a bunch of possible values for x and the other gives you a unique value but obviously, the unique value would be a part of the bunch of values given by the other statement" As per this if statement 1 returns 2 values of x - a and b and statement 2 returns a single value of x = a Then we can conclude that x=a is the solution. Then our answer choice will be C right ? In other words x can take a value which is intersection of result set 1 and 2 . And if the intersection of the 2 result sets is null then we will have option E . _________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford +1 Kudos if you find this post helpful

In a data sufficiency question is it necessary for both the statements to return the same unique value ? I was going through another post of the same question , in which PiyushK has provided a new statement :modified statement 1 : Sales man income was 50% of his total sale. The below is the link to the question- each-week-a-certain-salesman-is-paid-a-fixed-amount-equal-to-6616.html

Experts please help!!

Yes, both the statements are a part of the same question. One cannot return that x is 2 if the other says that x is 7. In one question, x can take only one unique value. So if both statements are giving you a unique value, the value will be the same. If it isn't, it means you have made a mistake somewhere. Of course, it is possible that one statement gives you a bunch of possible values for x and the other gives you a unique value but obviously, the unique value would be a part of the bunch of values given by the other statement.

"Of course, it is possible that one statement gives you a bunch of possible values for x and the other gives you a unique value but obviously, the unique value would be a part of the bunch of values given by the other statement" As per this if statement 1 returns 2 values of x - a and b and statement 2 returns a single value of x = a Then we can conclude that x=a is the solution. Then our answer choice will be C right ? In other words x can take a value which is intersection of result set 1 and 2 . And if the intersection of the 2 result sets is null then we will have option E .

So this is why DS questions are tricky. Think about it:

if statement 1 returns 2 values of x - a and b and statement 2 returns a single value of x = a Then we can conclude that x=a is the solution.

Correct!

Then our answer choice will be C right ?

Wrong! The answer will be (B) in that case (assuming statement II tells you that x = a). If one statement gives you a unique value for x, it alone is sufficient. We don't need the more generic other statement which gives us multiple values for x.

When will the answer be (C)? When statement 1 gives x = a or b and statement 2 gives x = a or c Now you need both statements to see that x can take only one value "a", if it has to satisfy both statements.

And if the intersection of the 2 result sets is null then we will have option E . If intersection of the two result sets in null, it is a wrong DS question since there has to be at least one common value (your original question). The answer will be (E) when the two sets have multiple values in the overlap. When statement 1 gives x = a or b or c and statement 2 gives x = a or c. Using both statements, we can say that x is either a or c. But we do not know which. So answer is (E) _________________

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

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.

If we modify the question, making sales' payment:p, sales amount:s, p=300+(s-1000)5%. There are 2 variables (p,s) and an equation, so we need one more equation when 2 are actually given from the 2 conditions; there is high chance (D) will be our answer. From condition 1, it is sufficient as p=0.1s and condition 2 is also sufficient in s=5000. The answer therefore becomes (D)

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E. _________________

Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

Show Tags

07 May 2016, 05:22

Bunuel wrote:

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.

Answer: D.

Hope it's clear.

well Bunuel , can you please tell me that where it is clear(in statement 1) that the sales must be more than $ 1000 ??

Re: Each week a certain salesman is paid a fixed amount equal to [#permalink]

Show Tags

14 May 2016, 06:24

2

This post received KUDOS

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.

Solution:

We are given that a salesman is paid $300, plus a commission equal to 5 percent of the amount of his sales over $1,000. If we set variable T as the total amount of his sales and A as the amount he earned last week, we can create the following equation:

A = 300 + 0.05(T – 1,000)

We need to determine the value of A.

Statement One Alone:

The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.

Using the information we can create the following equation:

A = 0.1T

Since A = 0.1T, we can substitute 0.1T for A in the equation A = 300 + 0.05(T – 1,000).

0.1T = 300 + 0.05T – 50

0.05T = 250

5T = 25,000

T = 5,000

Since we have a value for T, we can determine A.

A = 300 + 0.05(5,000 – 1,000)

A = 300 + 0.05(4,000)

A = 300 + 200

A = 500

Statement one is sufficient to answer the question. We can eliminate answer choice B, C, and E.

Statement Two Alone:

The salesman's sales last week totaled $5,000.

Once again, since we have a value for T, we can determine the value of A. Statement two is sufficient to answer the question.

The answer is D. _________________

Jeffrey Miller Jeffrey Miller Head of GMAT Instruction

gmatclubot

Re: Each week a certain salesman is paid a fixed amount equal to
[#permalink]
14 May 2016, 06:24

This is the kickoff for my 2016-2017 application season. After a summer of introspect and debate I have decided to relaunch my b-school application journey. Why would anyone want...

Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...

According to the Nebula Award categories, a novel must be over 40,000 words. In the past year I have written assignments for 22 classes totaling just under 65...