A dealer paid $10,000 for a boat at an auction. At the dealership, a sales person sold the boat for 30% more than the auction price the sale

Question

A dealer paid $10,000 for a boat at an auction. At the dealership, a sales person sold the boat for 30% more than the auction price the sales person received a commission of 25% of the difference between the auction price and the dealer price. What was the sales person’s commission?

in progress 0
Natalia 1 hour 2021-09-15T23:55:12+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T23:56:51+00:00

    Answer: the commission received by the salesperson is $576.9225

    Step-by-step 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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )