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 two discounts are applied successively, so the final price is 85% of the original price after the 15% sale discount, then 95% of that after the 5% member discount. Thus, $315.32 = original price × 0.85 × 0.95, so the original price is $315.32 ÷ 0.8075 ≈ $390.49. The correct choice is $390.49.
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