Problema Solution
A salesperson earns a commission of 5% on his first $20,000 of sales in a month and 8% on all sales over $20,000 for the month. One month he had sales of $45,000. How much did he earn in commissions for the month?
Answer provided by our tutors
We can write the following general equation for how much the salesperson earns per month, assuming that there are sales over $20,000:
Total amount in commission=.05(20,000)+.08(n-20,000)
where n is the total sales amount. Now we can plug in 45,000 for n to get:
Total amount in commission=.05(20,000)+.08(45,000-20,000)
Solving for the total we get:
Total amount in commission=$3,000