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# A turbine salesman earns a commission of x% of the purchase

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1664 [0], given: 396

A turbine salesman earns a commission of x% of the purchase [#permalink]  27 May 2018, 12:20
Expert's post
00:00

Question Stats:

99% (01:50) correct 0% (00:00) wrong based on 7 sessions
A turbine salesman earns a commission of x% of the purchase price of every turbine he sells, where x is a constant. His commission for a $300,000 turbine was$1500.

 Quantity A Quantity B The commission earned on a turbine that sold for $180,000.$800

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

Re: A turbine salesman earns a commission of x% of the purchase [#permalink]  27 May 2018, 14:06
Expert's post
Explanation

There are a few options for solving the given problem. First, you could find out exactly what x equals by setting up an equation: “1,500 is x percent of 300,000” translates algebraically to $$1,500 =\frac{x}{100} (300,000)$$.

Solving the equation will reveal that x = 0.5, so the commission is 0.5%. Taking 0.5% of $180,000 gives$900 for Quantity A, which is greater than Quantity B.

Alternatively, you could reason by proportion: $$\frac{1500}{300000} =\frac{c}{180000}$$. This works because the
commission the salesman earns represents the same proportion of the total in all cases, so any changes to the total will be reflected in changes to the commission. This gives the same value for Quantity A, \$900, and is still greater than Quantity B.
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Sandy
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Re: A turbine salesman earns a commission of x% of the purchase   [#permalink] 27 May 2018, 14:06
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