An appliance store decreases the price of a​ 19-in. television set 23​% to a sale price of $495.50. What was the original​ price?

Question

 please help 

Answer 1

Let x be the original price.

 

Percent change formula:

 

  (new - old)/old

 

where old # is the original price and new # is 495.50

 

495.50 - X

------------ = - 0.23 <---- percent change of 23% = 0.23

      X

 

495.50 - X = - 0.23 X

 

495.50 = 0.77 X

 

49550 = 77 X

 

X = 643.51

 

 

Answer 2

S = sale price

P = original price

 

S = (1.00 - 0.23)P  = 0.77P

 

P = S/0.77 = $495.50 / 0.77 ≅ $643.51