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.

The original price of the item is $ 390.49

Step-by-step explanation:

Let x be the original price of the board,

Since, the store was running a sale,

And, the discount percentage on the sale = 15 %,

Hence, the discount on the sale = 15 % of the original price

= 0.15 x

⇒ The price on the sale = x - 0.15 x = 0.85 x

Now, the member's discount = 5 % on the price on the sale price

= 0.05 of 0.85

= 0.0425 x

Hence, the Final price after getting all discounts = 0.85 x - 0.0425 x = 0.8075 x

According to the question

Final price =  $ 315.32

⇒ 0.8075 x = 315.32

⇒ x = 390.489164087 ≈ $ 390.49

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