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Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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The Official Guide For GMAT® Quantitative Review, 2ND EditionSalesperson 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000 Problem Solving Question: 114 Category: Algebra Applied problems; Simultaneous equations Page: 76 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach 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!
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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SOLUTIONSalesperson 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000 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(x1,000)=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.
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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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*(x1000)
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)



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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25 Feb 2014, 04:55
Option C I solved taking answer. Took C first and solved to get $1200 for A and B.
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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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;
360 + 0.06(x  1000) = 0.08x; 360 + 0.06x  60 = 0.08x; 300 = 0.02x; x = 300/0.02 = 30000/2 = 15,000;
Ans is (C).



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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26 Feb 2014, 02:19
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Option C. The equation is:360+6%(x1000)=8% of x Solving, 360=8% of x6% of x +60 300=2% of x x=15000



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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01 Mar 2014, 04:24
SOLUTIONSalesperson 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000 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(x1,000)=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.
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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.



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



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



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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01 Mar 2014, 07:20
Manofsteel wrote: 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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. Similar questions: healthinsuranceplanarequirestheinsuredtopay1000or106447.htmleachweekharryispaidxdollarsperhourforthefirst131475.html
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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10 Mar 2014, 08:26
lool wrote: 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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*0,06No. 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. Hope it's clear.
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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10 Mar 2014, 15:59
I can't believe, how long it took me to totally understand this damn formula



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holdem wrote: I can't believe, how long it took me to totally understand this damn formula Wash, Rinse, and Repeat until your hands are clean ~



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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.



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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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26 Jul 2015, 11:31
evdo wrote: 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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.
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Re: Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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26 Jul 2015, 11:41
evdo wrote: 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000
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(x1,000)=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.
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Salesperson A's compensation for any week is $360 plus 6 per [#permalink]
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08 May 2016, 06:32
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Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionSalesperson 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) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $ 4,000 Problem Solving Question: 114 Category: Algebra Applied problems; Simultaneous equations Page: 76 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach 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 ?




Salesperson A's compensation for any week is $360 plus 6 per
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