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08 Jan 2018, 07:29
00:00

Difficulty:

45% (medium)

Question Stats:

64% (02:06) correct 36% (02:47) wrong based on 43 sessions

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Salesperson A's compensation for any week is $250 plus 9 percent of the portion of his total sales above$500 for that week. Salesperson B's compensation for any week is 11 percent of her total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

A. $20,250 B.$17,500
C. $15,250 D.$12,500
E. $10,250 _________________ Manager Joined: 23 Feb 2017 Posts: 58 Re: Salesperson A's compensation for any week is$250 plus 9 percent of th  [#permalink]

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08 Jan 2018, 09:20
let us assume total sale = $X (Assume X>500) Salesperson A's compensation =$(250 + $$\frac{9}{100}$$*(X-500))
Salesperson B's compensation = $$$\frac{11}{100}$$*X Both Compensations are same 250 + $$\frac{9}{100}$$*(X-500) = $$\frac{11}{100}$$*X 250-45 = $$\frac{11}{100}$$*X-$$\frac{9}{100}$$*X 205*100/2= X X=$10250

Ans. E
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Re: Salesperson A's compensation for any week is $250 plus 9 percent of th [#permalink] ### Show Tags 08 Jan 2018, 11:00 Bunuel wrote: Salesperson A's compensation for any week is$250 plus 9 percent of the portion of his total sales above $500 for that week. Salesperson B's compensation for any week is 11 percent of her total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation? A.$20,250
B. $17,500 C.$15,250
D. $12,500 E.$10,250

250 + 9% of ( x - 500 ) = 11% of x

So, 250 + 0.09x - 45 = 0.11x

Or, 205 = 0.02x

Or, x = 10250, hence answer will be (E)
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Schools: Smurfit (A$) GMAT 1: 610 Q42 V31 GPA: 3 Re: Salesperson A's compensation for any week is$250 plus 9 percent of th  [#permalink]

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16 Apr 2018, 00:56
I'm confused about why everyone is assuming that A's total sales for the week are the same as B's total sales for the week. I don't see it mentioned anywhere on the question...