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A salesperson for an automobile dealer earns an annual

by AAPL » Tue Oct 30, 2018 4:20 am

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A salesperson for an automobile dealer earns an annual salary of $25,000 plus a commission of 10% of the salesperson's sales over $100,000. If x is the dollar amount of sales in a certain year and x is greater than $100,000, which of the following expresses the salesperson's total earnings, in dollars, for the year?

A. 25,000 + 0.1x
B. 35,000 + 0.1x
C. 125,000 + 0.1x
D. 25,000 + 0.1(100,000 - x)
E. 25,000 + 0.1(x - 100,000)

OA E.
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by Brent@GMATPrepNow » Tue Oct 30, 2018 5:15 am
AAPL wrote:GMAT Prep

A salesperson for an automobile dealer earns an annual salary of $25,000 plus a commission of 10% of the salesperson's sales over $100,000. If x is the dollar amount of sales in a certain year and x is greater than $100,000, which of the following expresses the salesperson's total earnings, in dollars, for the year?

A. 25,000 + 0.1x
B. 35,000 + 0.1x
C. 125,000 + 0.1x
D. 25,000 + 0.1(100,000 - x)
E. 25,000 + 0.1(x - 100,000)

OA E.
Total earnings = (base salary) + (commission)

base salary = $25,000

commission = 10% of total sales OVER $100,000
= 10% of (x - $100,000)
= 0.1(x - $100,000)

So, total earnings = $25,000 + 0.1(x - $100,000)
Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by fskilnik@GMATH » Tue Oct 30, 2018 6:14 am
AAPL wrote:GMAT Prep

A salesperson for an automobile dealer earns an annual salary of $25,000 plus a commission of 10% of the salesperson's sales over $100,000. If x is the dollar amount of sales in a certain year and x is greater than $100,000, which of the following expresses the salesperson's total earnings, in dollars, for the year?

A. 25,000 + 0.1x
B. 35,000 + 0.1x
C. 125,000 + 0.1x
D. 25,000 + 0.1(100,000 - x)
E. 25,000 + 0.1(x - 100,000)
Let´s explore a particular case, say x = 110,000. Our TARGET is 25,000 + 1/10 * (10,000) = 25,000 + 1,000 = 26,000 (dollars).

(A) 25,000 + 11,000 --- wrong, OUT
(B) 35,000 + (positive) --- wrong, OUT
(C) 125,000 + (positive) --- wrong, OUT
(D) 25,000 + 0.1 (negative) < 25,000 --- wrong , OUT

The answer must be (E) by exclusion. Alternative choice (E) is the only (potential) SURVIVOR.

Obs.: (E) is obviously correct: 25,000 (fixed) plus 10% of the excedent in relation to 100,000, that is, 0.1(x-100,000).

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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Portuguese-speakers :: https://www.gmath.com.br
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by Scott@TargetTestPrep » Wed Oct 31, 2018 5:29 pm
AAPL wrote:GMAT Prep

A salesperson for an automobile dealer earns an annual salary of $25,000 plus a commission of 10% of the salesperson's sales over $100,000. If x is the dollar amount of sales in a certain year and x is greater than $100,000, which of the following expresses the salesperson's total earnings, in dollars, for the year?

A. 25,000 + 0.1x
B. 35,000 + 0.1x
C. 125,000 + 0.1x
D. 25,000 + 0.1(100,000 - x)
E. 25,000 + 0.1(x - 100,000)
We can create the equation:

Earnings = 25,000 + 0.1(x - 100,000)

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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