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

Mathematics

Heidi Wilcox

23 April, 22:15

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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Carmelo · 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