Question

A salesperson earns commission on the sales that she makes each month

• The salesperson earns a 5% commission on the first $5000 she has in sales.
* The salesperson earns a 7.5% commission on the amount of her sales that are greater than $5,000

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?
A. $400
B. $475
C. $525
D. $600

Answer 1

To calculate the commission, we apply a 5% commission to the first $5,000 in sales to get $250, and a 7.5% commission to the remaining $3,000 in sales to get $225. The total commission is $475.

Step-by-step explanation:

The subject is a word problem in mathematics related to the application of percentages and calculating commission. To solve the problem, we need to split the total sales into two parts: sales up to $5,000 and the sales exceeding $5,000. Then we apply the different commission rates to each part.

First, the salesperson earns a 5% commission on the first $5,000 of sales:

• $5,000 x 0.05 = $250

Next, the salesperson earns a 7.5% commission on the remaining $3,000 of sales (since $8,000 total sales - $5,000 threshold = $3,000):

• $3,000 x 0.075 = $225

Now, we add both amounts to determine the total commission:

• $250 + $225 = $475

Therefore, the salesperson's total commission for the month is $475.