INSEAD Jan18 Admission Decisions - Join Us in the Chat for Live Decision Updates

GMAT Club Daily Prep

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:

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

25 Feb 2014, 02:01

2

This post was BOOKMARKED

Let A's total sales for the week be 'x' Let B's total sales for the week be 'y'

Now A gets a fixed salary(salary irrespective of sales) + variable salary = 360 + 0.06*(x-1000)

B gets only a variable salary = 0.08*(y)

Now assuming A sells nothing. i.e 0 $ Then A's weekly income will be 360$ Since income of both has to be same 0.08*y = 360 thus y = 4500 $ Now A gets a fixed income irrespective of his sales. So A's total sales for the week = 0 and B's total sales for the week = 4500 Thus TOTAL weekly sales at which both get the same earnings = x+y = 4500$. Answer - Option (D)

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

25 Feb 2014, 22:08

2

This post received KUDOS

A's Compensation = 360 + 0.06(A's Total Sales amount - 1000) B's Compensation = 0.08(B's Total Sales amount)

Since we are asked for the amount of total weekly sales in which both salespeople earn the same compensation, we can assume the amount of A's Total Sales = B's Total Sales = x;

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

01 Mar 2014, 04:33

Bunuel wrote:

SOLUTION

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Answer: C.

I didnt get it.... Question says for what amount of TOTAL SALES...Total Sales = A's sale + B's sale ....so it has to be be A's sales = 0 and B's sales = 4500 and Option D. If it is 15000 $ = B's sale then the answer should be 30000$ as the total sales.

Thus If each has a sales of $15000 then the total sales will be $ 30000 Option C just cant be the right answer. unless u interpret - For what amount of total weekly sales would both salespeople earn the same compensation? - as sales of any one person!!! - which isnt the intended meaning conveyed by the english of the question.

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

01 Mar 2014, 04:59

I just checked up the Official review and it is C... i mean i really, honestly and humbly think that the GMAC either got the question wording wrong or the answer wrong. So i still feel given the question wording D is the right answer. GMAC probably made a mistake with the question wording.(After all they are humans too)

I just checked up the Official review and it is C... i mean i really, honestly and humbly think that the GMAC either got the question wording wrong or the answer wrong. So i still feel given the question wording D is the right answer. GMAC probably made a mistake with the question wording.(After all they are humans too)

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

01 Mar 2014, 05:07

Bunuel wrote:

Manofsteel wrote:

I just checked up the Official review and it is C... i mean i really, honestly and humbly think that the GMAC either got the question wording wrong or the answer wrong. So i still feel given the question wording D is the right answer. GMAC probably made a mistake with the question wording.(After all they are humans too)

Check again: D is wrong.

why is it wrong? i still dont get it though! can you explain

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Answer: C.

I didnt get it.... Question says for what amount of TOTAL SALES...Total Sales = A's sale + B's sale ....so it has to be be A's sales = 0 and B's sales = 4500 and Option D. If it is 15000 $ = B's sale then the answer should be 30000$ as the total sales.

Thus If each has a sales of $15000 then the total sales will be $ 30000 Option C just cant be the right answer. unless u interpret - For what amount of total weekly sales would both salespeople earn the same compensation? - as sales of any one person!!! - which isnt the intended meaning conveyed by the english of the question.

The questions asks for what amount the two compensation plans would give the same compensation.

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

10 Mar 2014, 08:18

Bunuel wrote:

SOLUTION

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Answer: C.

Why did you substract 1000 from x while computing A's compensation ? I understand the question as if A made a $2000 total sales, his compensation is 360+ 2000*0,06

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Answer: C.

Why did you substract 1000 from x while computing A's compensation ? I understand the question as if A made a $2000 total sales, his compensation is 360+ 2000*0,06

No.

The stem says that "A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week."

Thus if A's sales were $2,000 for a certain week, then the compensation would be $360 plus 6 percent of the portion of A's total sales above $1,000, so 6 percent of $2,000-$1,000=$1,000: 360 + 0.06*1,000.

Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]

Show Tags

26 Jul 2015, 06:11

Really? Which one is correct? total weekly sales or individual sales? IMO if each has $15k of sales then the total weekly sales must be $30k

Bunuel wrote:

SOLUTION

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Really? Which one is correct? total weekly sales or individual sales? IMO if each has $15k of sales then the total weekly sales must be $30k

Bunuel wrote:

SOLUTION

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Answer: C.

The question asks about the total weekly sales of each salesperson.
_________________

Really? Which one is correct? total weekly sales or individual sales? IMO if each has $15k of sales then the total weekly sales must be $30k

Bunuel wrote:

SOLUTION

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A's compensation = $360 + 6 percent of the A's total sales above $1,000. B's compensation = 8 percent of B's total sales.

Whose compensation is greater? Well it depends on the sales: If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.

The question asks: for what amount would both salespeople earn the same compensation?

Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.

Answer: C.

You are over analyzing the question stem. It asks us to calculate that 1 particular value of total weekly sales that will give us the same compensation for both A and B. "Total" here means total weekly sales for either one of them.
_________________

Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Hi Bunuel , Can you please specify ? why do we need to take both salesperson's sales equal ? (It is not given in the question that both sales are equal) we are asked for "what amount of total weekly sales would both salespeople earn the same compensation?"

I think we need to calculate Sales of A + Sales of B = ? (at the same compensation earned ) After seeing your solution if x = $15000 (which is supposed to be 1 person's sales amount) then Sales A + Sales B should be $30000, which is not even in the options...

Can you please explain where am I wrong ?

gmatclubot

Salesperson A's compensation for any week is $360 plus 6 per
[#permalink]
08 May 2016, 06:32

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...