Final answer:
The total commission received by the salesman for selling the car is $525, which is obtained by adding the commission of 4.5% on the first $10,000 ($450) and 7.5% on the remaining $1,000 ($75).
Step-by-step explanation:
To calculate the commission a salesman receives for selling a car, we need to apply the given percentage rates to the corresponding portions of the sale price.
First, we calculate the commission for the initial $10,000 at a rate of 4.5%. Then, we calculate the commission for the remainder, which is $11,000 - $10,000 = $1,000, at a rate of 7.5%.
Commission on the first $10,000: $10,000 × 4.5% = $450
Commission on the remaining $1,000: $1,000 × 7.5% = $75
The total commission is the sum of these two amounts: $450 + $75 = $525.
Therefore, the correct answer is not listed in the given options, as the commission he receives is $525.