Answer: the commission received by the salesperson is $576.9225
Explanation:
Let x represent the auction price
At the dealership, a sales person sold the boat for 30% more than the auction price. It means that the amount for which he sold the boat is
x + (30/100 × x)
= x + 0.3x = 1.3x
If the dealer paid $10,000 for a boat at an auction, it means that
1.3x = 10000
x = 10000/1.3
x = 7692.31
The difference between the auction price and the dealer price is
10000 - 7692.31 =$2307.69
The sales person received a commission of 25% of the difference between the auction price and the dealer price. It means that the commission received by the salesperson is
25/100 × 2307.69 = $576.9225