Noah sees a pair of shoes he wants to buy. The shoes have an original price of $40 but are $10 off this week. Noah has a coupon for an additional 20% off of the sale price of the shoes. What is the total percent discount (total markdown) that Noah will receive on the shoes before tax is calculated?
The shoes have an original price of $40 but are $10 off, this means that the sale this week is $30.
An additional 20% off means that it is basically 80% of the shoe being sold this week. So \(30*\frac{8}{10} = 24\)
Since the shoes he is going to buy are $24 dollars out of the $40 original price. The price dropped $16.
What percent of 40 is 16? You can convert it into a fraction by dividing 16 by 40. So \(\frac{16}{40} = \frac{4}{10}\)
Since \(\frac{4}{10}\) is easily recognized as 40%. The total percent discount is 40%
40 -10 = 30 dollars now he gets a 20% discount form 30 dollars
30 - .2(30) = $24 Final price
that is 16 dollars off full price 16/40 x 100% = 40% off