A buyer paid ​$55 comma 68055,680​, including the​ buyer's premium, for a car auction. If the auction adds a 1616​% ​buyer's premium to the sale price of the​ car, then what was the sale price of the​ car?

Respuesta :

Answer:

The sale price of the car is $48000.

Step-by-step explanation:

i) let the sale price of the car be = $x

ii) the premium is given as 16%

  therefore the premium of the car will be equal to = 16% of $x

  the premium of the car will be = $0.16x

iii) therefore total price of car in terms of sale price x  = $x + $0.16x

           therefore total price = $1.16x

iv) total price is given as $55,680

 

Therefore   $55,680 = $1.16x,    therefore $x = [tex]\dfrac{55,680}{1.16} = \$\hspace{0.15cm}48000[/tex].

Therefore the sale price of the car is $48000.