Answer:
She is entitled to $3,217.5
Explanation:
First the amount the brokers and sales person are interested in is 6.5% of the selling price ($150,000). so calculating 6.5% of the selling price;
6.5% = 6.5/100 = 0.065
∴ 6.5% of $150,000 = 0.065 × 150,000 = $9,750
Next, we are interested in the cooperating broker (Broker A), who the sales person works for. Note that a cooperating broker is the broker who facilitates a real estate transaction, along with a listing broker who listed the property, and in this case the listing broker is Broker A, who the sales person works for.
We are told that the cooperating broker takes 60% of the listing commission ($9,750);
Therefore, 60% of $9,750 = 0.6 × 9,750 = $5,850
Next, we are also told that out of this amount, the sales person is responsible for 55% of the listing commission entering the cooperate broker's office;
Therefore, 55% of $5,850 = 0.55 × 5,850 = $3,217.5
Therefore the sales person is entitled to $3,217.5
