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Salesperson A's compensation for any week is $250 plus 9 percent of th

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Salesperson A's compensation for any week is $250 plus 9 percent of th [#permalink]

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New post 08 Jan 2018, 07:29
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E

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  35% (medium)

Question Stats:

74% (01:24) correct 26% (01:59) wrong based on 31 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

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Re: Salesperson A's compensation for any week is $250 plus 9 percent of th [#permalink]

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New post 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]

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New post 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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Re: Salesperson A's compensation for any week is $250 plus 9 percent of th [#permalink]

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New post 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...
Re: Salesperson A's compensation for any week is $250 plus 9 percent of th   [#permalink] 16 Apr 2018, 00:56
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