How do you solve this math question?

Question

A dealer buys a new car far $8400. how much do you have to pay for the car if the dealer makes a 20% profit and there is a 5% sales tax?

o.O ok now im just confused.....

Answer 1

Cost of car 8400 let C = 8400

profit = 0.25 C

Tax = 0.05 x (C + 0.25C)

You Pay = C + 0.20 C + 0.05 x (C + 0.20C)

C + 0.20 C + 0.05 C + 0.01 C

1.26 C or 1.26 x 8400

Answer 2

Dealer buy new car
-> cost of car 8,400 and the car is 100%

Dealer make a 20% profit
-> to make 20%, he need to sell the car at $x and the car need to be (100%+20%)=120%

this give us the ratio equation of :

120%
-------
100%

=

$x
--------
$8,400

Do a cross multiplication to give you :

100x = 120*8400 and you should get x = $10,080

Next ,we need to deal with the sale tax

Sale tax of 5% is on the selling price that the dealer sell in order to make 20% profit which we had found out to be $10,080

Sale tax will cost 5% x $10,080 = $504

The final price of the car you need to pay will be the markup price of the car by the dealer + tax amount
= $10,080 + $504
= $10,584. Answer

Answer 3

Whoa now thats all really complicated. I dont have an advanced mathematics degree to figure out what these yahoos are talking about but I do sell cars so here we go

8400 + 1680 (20% of 8400) = 10080 + 504(5% of 10080) = 10584

There you have it 10584.

Answer 4

If the dealer makes 20% profit, that's 0.20 of the price he paid for the car. So he charges you (1 + 0.20) times the amount he paid for the car. Then, you must pay the additional 5% of the selling price, which is 0.05 times [(1 + 0.20)($8400)]. Your final cost then is [(1 + 0.20)($8400)] + (0.05)[(1 + 0.20)($8400)]. Now we can factor out [(1 + 0.20)($8400)] from both terms, leaving us with:

(1 + 0.05)[(1 + 0.20)($8400)] for your final cost.

I leave it to you to perform the multiplication.

Answer 5

8400x20%=1680
8400+1680=10,080
10,080x5%=504
10,080+504=$10,584.00