The amount of money that she made in sales last month is: $20000
How to find the amount in sales?
The salesperson's commission is based on the following structure:
A 5% commission on the first $5,000 in sales.
A 7.5% commission on the amount of her sales that are greater than $5,000.
Last month, the salesperson earned $1,375 in commission. To find the total sales amount in dollars, we can use the given information to calculate the commission earnings for each part of the commission structure and then subtract the base salary (5% of $5,000) from the total commission earnings.
The 5% commission on the first $5,000 in sales: (5/100) * 5000 = $250
The 7.5% commission on the amount of her sales that are greater than $5,000 is:
(7.5/100) * (sales - 5000)
Substituting the given commission earnings and the 5% base salary gives:
1375 = 250 + (7.5/100) * (sales - 5000)
1375 - 250 = (7.5/100) * (sales - 5000)
1125 = (7.5/100) * (sales - 5000)
Multiply through by 100/7.5 to get:
112500/7.5 = sales - 5000
sales - 5000 = 15000
sales = $20000