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Three salespeople are paid commissions in proportion to the
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10 Dec 2020, 10:48
10 Dec 2020, 10:48
Expert Reply
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Question Stats:
89% (01:28) correct
10% (01:42) wrong based on 19 sessions
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Three salespeople are paid commissions in proportion to the amount of their sales, which total $25, 000, $40, 000, and $60, 000, respectively. If a total of $20, 000 is allocated for these three commissions, what is the amount of the largest commission paid?
(A) $8, 000
(B) $8, 400
(C) $9, 600
(D) $10, 000
(E) $12, 000
Kudos for the right answer and explanation
(A) $8, 000
(B) $8, 400
(C) $9, 600
(D) $10, 000
(E) $12, 000
Kudos for the right answer and explanation
Re: Three salespeople are paid commissions in proportion to the
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13 Dec 2020, 04:46
13 Dec 2020, 04:46
1
First, translate the amount of their sales ($25, 000, $40, 000, and $60, 000) into the ratio =====> let's take 25,000 as the base, then 40,000 is 1.6 times more (40,000-25,000/25,000) and 60,000 is 2.4 times more than 25,000 (65,000-25,000/25,0000). Hence, our three ratios will be: 1-1.6-2.4 .
The question asks "what is the amount of the largest commission paid": (20,0000/(1+1.6+2.4))* 2.4 = $9,600
The question asks "what is the amount of the largest commission paid": (20,0000/(1+1.6+2.4))* 2.4 = $9,600
Re: Three salespeople are paid commissions in proportion to the
[#permalink]
13 Dec 2020, 04:53
13 Dec 2020, 04:53
2
Ratio of their sales are 5:8:12
5x+8x+12x=20000
x=800
Largest commission paid=800*12
5x+8x+12x=20000
x=800
Largest commission paid=800*12
