One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during the month. How much must the employee sell in one month to earn a total of $4,000 for the month?

the employee must make sales of $32000

Step-by-step explanation:

Let x represent the total sales that the employee makes in a month.

One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during the month. This means that if the employee makes sales of $x in a month, his total earnings for that month would be

2000 + 8/100(x - 7000)

= 2000 + 0.08(x - 7000)

= 2000 + 0.08x - 560

= 0.08x + 1440

Therefore, for the employee to earn

a total of $4,000 for the month, the amount of sales would be

0.08x + 1440 = 4000

0.08x = 4000 - 1440

0.08x = 2560

x = 2560/0.08

x = $32000