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

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pushpitkc
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A salesman makes a 20 percent commission on the selling price of each [#permalink] New post   Updated on: 31 Oct 2018, 22:25
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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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C

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.
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Re: A salesman makes a 20 percent commission on the selling price of each [#permalink] 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] 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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BrentGMATPrepNow
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Re: A salesman makes a 20 percent commission on the selling price of each [#permalink] New post   30 Oct 2019, 11:45
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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 x = the selling price of ONE set of encyclopedias
So, 12x = the TOTAL price of 12 sets of encyclopedias

If the commission is 20%, then the salesman's commission = 20% of 12x
If the salesmen receives $1800 in commissions, we can write: 20% of 12x = $1800
Rewrite as: (0.2)(12x) = $1800

We COULD evaluate (0.2)(12) to get 2.4, but I'd rather not have to divide 1800 by 2.4
Instead, here's what I'd do to speed up the calculations (in my head).

Take: (0.2)(12x) = $1800
Divide both sides by 12 to get: (0.2)(x) = $150
Rewrite 0.2 as 1/5 to get: (1/5)x = $150
Multiply both sides by 5 to get: x = $750

Answer: C

Cheers,
Brent
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Re: A salesman makes a 20 percent commission on the selling price of each [#permalink] New post   11 Nov 2023, 12:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A salesman makes a 20 percent commission on the selling price of each [#permalink]
11 Nov 2023, 12:16
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