A little real estate math help please

[Mathcanbetough]

Thank you very much in advance I need help with a question . "On the sale of any property, a salesperson's compensation is based on the total commission paid to the broker. The salesperson receives 30 percent of the first $2,500, 40 percent of an amount between $2,500 and $7,500 , and 50 percent of any amount exceeding $7,500. If a property sells for $234,500 and the broker's commission rate is 6.5 percent What is the salesperson's total compensation? " I Known the what the book says the answer is but I am not sure of the mechanics as to how you come to the correct answer what I came up with was the total commission is 15242.50 and 30 percent of the first$2500 is $750 dollars and the answer s 6,621.25 but I come up with 7621.25

 

[Ishuda]

Thank you very much in advance I need help with a question . "On the sale of any property, a salesperson's compensation is based on the total commission paid to the broker. The salesperson receives 30 percent of the first $2,500, 40 percent of an amount between $2,500 and $7,500 , and 50 percent of any amount exceeding $7,500. If a property sells for $234,500 and the broker's commission rate is 6.5 percent What is the salesperson's total compensation? " I Known the what the book says the answer is but I am not sure of the mechanics as to how you come to the correct answer what I came up with was the total commission is 15242.50 and 30 percent of the first$2500 is $750 dollars and the answer s 6,621.25 but I come up with 7621.25

Total commission = 0.065 * 234500 = 15242.50

A = 0.30 * 2500 = 750
B = 0.40 * (7500 - 2500) = 0.40 * 5000 = 2000 <-- this is where you went wrong?
C = 0.50 * ( 15242.50 - 7500) = 3871.75
A+B+C = 6621.25

 

[Mathcanbetough]

Thank you I get it now