Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of 85$ per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?

Question

Tobias Flynn

Mathematics

7 October, 16:23

Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of 85$ per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?

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Answers (1)

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Madelynn Castaneda · Answer 1

Define the two friends as person A and person B.

Let x = the sales in a week.

Person A:

$125 per week plus 18% commission on sales.

Earnings in a week on x sales is

125 + 0.18x

Person B:

$85 per week plus 21% commission on sales.

Earnings in a week on x sales is

85 + 0.21x

For the two earnings to be equal,

85 + 0.21x = 125 + 0.18x

0.03x = 40

x = 40/0.03 = $1333.33

Answer: $1,333.33