Question

You recently purchased a new snowboard for the upcoming winter. the board, with bindings, came out to be $315.32. you were told that the store was running a sale on the make and model of snowboard that you purchased and, because you were a member of the shop, you received an additional discount. if the store discount on the make and model of board that you purchased is 15% and the shop member discount is 5%, then determine the original price of the item. round your answer to the nearest cent.
a. $368.02
c. $299.55
b. $390.49
d. $175.18

Answer 1

Let x be the price after the discunt on the make and model of the board but before the member discount. Then,
(100 - 5)/100 x = 315.32
0.95x = 315.32
x = 315.32/0.95 = $331.92

Let y be the original price of the board, then
(100 - 15)/100 y = 331.92
0.85y = 331.92
y = 331.92/0.85 = 390.49

Therefore, the original price of the board is $390.49