Question

A sales person starts working 40 hours per week at a job with 2 options for being paid . Option A is an hourly wage of $19. Option B is a commission rate of 8% on weekly sales.

How much does the sales person need to sell in a given week to earn the same amount with each option?
A. $9,500
B. $4,750
C. $760
D. $320

Answer 1

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week
`\sf = 19 * 40 = \$760`

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So,
`\sf (8x)/(100)=760`

Or,
`\sf 8x= 76000`

Or,
`\sf x= (76000)/(8)=9500`

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.