Pat purchased a mattress set which was on sale 20 off 75 sal

Pat purchased a mattress set which was on sale (20% off). 7.5% sales tax and then a $40 delivery charge were added. A total of $1,394.50 was charged to her credit card. What was the purchase price (the sale price) of the mattress set (before the tax and delivery charge)? Show algebraic work/explanation. Write a sentence to answer the question.

Solution

Let X be the original price of the mattress before discount. After discount, the price of the mattress is x - ).2x = 0.8x.After 7 . 5 % sales tax, the price of the mattress is 0.8x + ( 0.8x ) * 7.5 /100 = 0.8x + 0.06x = 0.86x. After further adding delivery charges of $ 40, the charge to Pat\'s credit card is $ 1394.50 so that 0.86x + 40 = 1394.5 or, x = (1394.50 - 40)/ 0.86 = 1354.5/0.86 = $ 1575. Then 0.8x = $ 1260. Thus the purchase price before the tax and delivery charges is $ 1260.