Question

Maggie buys a dress and a pair of shoes at The Home Store. Before adding the sales tax, she pays $48 for a dress that normally sells for $62 and she pays $34 for a pair of shoes that normally sells for $46. a) Before the sales tax, how much does Maggie save on her purchases by buying at the sale price? Show all work. b) To the nearest percent, what percent discount did Maggie get on her total purchase? Show all work. c) Including a 15% sales tax, what total amount will Maggie pay?

Answer 1

a) $26

b) 24.07%

c) $94.3

Explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = $26

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

`\frac{\text{Total discount}}{\text{Total bill for original price}}* 100\\\Rightarrow (26)/(108) * 100 = 24.07\%`

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = $94.3