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# A salesman sells two equally priced brands of ice cream, for

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Director
Joined: 07 Nov 2004
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A salesman sells two equally priced brands of ice cream, for [#permalink]

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30 Nov 2004, 10:55
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A salesman sells two equally priced brands of ice cream, for which he receives a sales commission of 5 percent on one brand and 7 percent on the other. If the salesman sold a total of $10,000 in ice cream and collected$660 in commissions, what fractional part of the total ice cream sold did he sell at the lower commission rate?

A) 7/8
B) 4/5
C) 1/2
D) 1/5
E) 1/8
Director
Joined: 31 Aug 2004
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30 Nov 2004, 11:08
660=5%.A.P+7%.B.P
10000=P(A+B)

After calculations, BP = 8000 so AP = 2000
so answer is 2000/10000 = 1/5

D
Director
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30 Nov 2004, 22:28
D.
A+B = 10000
(5/100)*A + (7/100)*B = 660

Solving B = 8000, A=2000. 2000/10000 = 1/5.
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