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A turbine salesman earns a commission of x% of the purchase
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27 May 2018, 12:20
27 May 2018, 12:20
Expert Reply
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Question Stats:
97% (01:17) correct
2% (01:29) wrong based on 73 sessions
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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.
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.
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.
Re: A turbine salesman earns a commission of x% of the purchase
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27 May 2018, 14:06
27 May 2018, 14:06
1
Expert Reply
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.
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.
Re: A turbine salesman earns a commission of x% of the purchase
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09 Jan 2023, 20:06
09 Jan 2023, 20:06
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Thanks to another GRE Prep 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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
