Question
(a)
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 5000
.
Part A
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
Answers
GPT-4o mini
To calculate the commission the salesperson earned this month based on her sales of $8,000, we can break it down as follows:
1. For the first $5,000 in sales, she earns a 5% commission:
\[
\text{Commission on first } 5000 = 5000 \times 0.05 = 250
\]
2. For the amount over $5,000 (which is $8,000 - $5,000 = $3,000), she earns a 7.5% commission:
\[
\text{Commission on amount over } 5000 = 3000 \times 0.075 = 225
\]
3. Now, we add both commissions:
\[
\text{Total commission} = 250 + 225 = 475
\]
So, the salesperson earned a total commission of **$475**.
The answer is **B. $475**.
1. For the first $5,000 in sales, she earns a 5% commission:
\[
\text{Commission on first } 5000 = 5000 \times 0.05 = 250
\]
2. For the amount over $5,000 (which is $8,000 - $5,000 = $3,000), she earns a 7.5% commission:
\[
\text{Commission on amount over } 5000 = 3000 \times 0.075 = 225
\]
3. Now, we add both commissions:
\[
\text{Total commission} = 250 + 225 = 475
\]
So, the salesperson earned a total commission of **$475**.
The answer is **B. $475**.