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A salesman makes a 20 percent commission on the selling price of each

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A salesman makes a 20 percent commission on the selling price of each  [#permalink]

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New post Updated on: 31 Oct 2018, 22:25
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Question Stats:

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A salesman makes a 20 percent commission on the selling price of each set of encyclopedias he sells. If he sells 12 identical sets of encyclopedias and makes $1800 in commissions, what is the selling price of each set?

A. $300
B. $600
C. $750
D. $900
E. $1080

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Originally posted by pushpitkc on 31 Oct 2018, 19:42.
Last edited by Bunuel on 31 Oct 2018, 22:25, edited 1 time in total.
EDITED.
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Re: A salesman makes a 20 percent commission on the selling price of each  [#permalink]

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New post 31 Oct 2018, 19:54
pushpitkc wrote:
A salesman makes a 20 percent commission on the selling price of each set of encyclopedias
he sells. If he sells 12 identical sets of encyclopedias and makes $1800 in commissions, what
is the selling price of each set?

A. $300
B. $600
C. $750
D. $900
E. $1080


Let the price of \(1\) encyclopedia be \(= x\)

Commission on \(1\) encyclopedia \(= \frac{20}{100} x = \frac{1}{5} x\)

Given total commission \(= $1800\)

Therefore commission on \(12\) encyclopedia \(= 12 * \frac{1}{5} x = 1800\)

\(x = \frac{1800 * 5}{12} = $750\)

Answer C
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Re: A salesman makes a 20 percent commission on the selling price of each  [#permalink]

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New post 31 Oct 2018, 22:36
=>0.20 * 12x = 1800
=>2.40x = 1800
=>x = 1800/2.40
=>750

IMO C
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Re: A salesman makes a 20 percent commission on the selling price of each   [#permalink] 31 Oct 2018, 22:36
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