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Jaden earns a yearly base salary of $30,000, plus a commission of $500
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23 Feb 2023, 06:16
23 Feb 2023, 06:16
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Question Stats:
82% (01:33) correct
17% (01:20) wrong based on 23 sessions
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Jaden earns a yearly base salary of $30,000, plus a commission of $500 on every car he sells above his monthly minimum of two cars. Last year, Jaden met or surpassed his minimum sales every month, and earned a total income (salary plus commission) of $60,000.
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 number of cars Jaden sold last year |
90 |
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: Jaden earns a yearly base salary of $30,000, plus a commission of $500
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25 Mar 2023, 04:01
25 Mar 2023, 04:01
Expert Reply
OE
The simplest method for solving a problem like this is to work backwards from the value in Quantity B. Suppose Jaden sold exactly 90 cars. Then, because he met or surpassed his two car minimum each month (which adds up to 24 cars in the entire year), he would have sold another 90 − 24, which equals 66 cars above the minimum. The commission he earned on those cars is calculated as follows: $500 × 66 = $33,000 This would put his total yearly income at $30,000 (base salary) + $33,000 (commission), which sums to $63,000. However, you know that Jaden actually earned less than that; therefore, he must have sold fewer than 90 cars.
QA < 90
QB = 90
The simplest method for solving a problem like this is to work backwards from the value in Quantity B. Suppose Jaden sold exactly 90 cars. Then, because he met or surpassed his two car minimum each month (which adds up to 24 cars in the entire year), he would have sold another 90 − 24, which equals 66 cars above the minimum. The commission he earned on those cars is calculated as follows: $500 × 66 = $33,000 This would put his total yearly income at $30,000 (base salary) + $33,000 (commission), which sums to $63,000. However, you know that Jaden actually earned less than that; therefore, he must have sold fewer than 90 cars.
QA < 90
QB = 90
gmatclubot
Re: Jaden earns a yearly base salary of $30,000, plus a commission of $500 [#permalink]
25 Mar 2023, 04:01
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