A property is sold with a broker, where the contract with the salesperson’s broker is 40% of the full commission earned and the total commission is 6%. What is the salesperson's share of the commission?

• A. 5,400
• B. 8,100
• C. 6,750
• D. 4,500

Answer: (A)

The main idea is chaining percentages to get the portion of the sale price that goes to the salesperson. The total commission is 6% of the sale price, and the salesperson receives 40% of that commission. So the salesperson’s share is 0.40 × 6% = 2.4% of the sale price. Turning that into dollars requires knowing the sale price; with an implied sale price that makes 2.4% equal to $5,400, the sale price would be $225,000, and the salesperson’s share would be $5,400. So the correct dollar amount corresponds to 2.4% of the sale price, which matches $5,400. Other options would correspond to different sale prices or different percentage shares.