Question

Salespeople for a home remodeling center receive an 8% commission on anything sold. They do not receive commission on the sales tax. If a salesperson sold a kitchen cabinet and countertop package for $885.65 which included a 6% sales tax, what was her commission.

Answer 1

To find the commission earned by the salesperson, divide the total cost by 1 plus the sales tax rate, then multiply the cost without tax by the commission rate and we get $66.84 .

Step-by-step explanation:

To calculate the commission earned by the salesperson, we need to find the total cost of the kitchen cabinet and countertop package without the sales tax. To do this, we divide the total cost by 1 plus the sales tax rate (in decimal form).

Total cost without tax = Total cost / (1 + Sales tax rate)

Total cost without tax = $885.65 / (1 + 0.06)

Total cost without tax = $885.65 / 1.06

Total cost without tax = $835.47

Now, we can calculate the commission by multiplying the cost without tax by the commission rate (in decimal form).

Commission = Cost without tax * Commission rate

Commission = $835.47 * 0.08

Commission = $66.84