A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book? Explain and SHOW how you arrived at your answer.

$30.21

Step-by-step explanation:

100% -25%= 75%

Discounted price of the book

= 75% ×$38

= $28.50

Since the customer must pay an additional 6% of the discounted price,

percentage of discounted price paid

= 100% +6%

= 106%

Total amount paid

= 106% × $28.50

= $30.21

Alternative working:

Original selling price= $38

Since the book is discounted 25%,

100% $38

1% $0.38

75% 75 ×$0.38= $28.50

Since the sales tax is based on the discounted price, we let the discounted price be 100%.

100% $28.50

1% $0.285

106% 106 ×$0.285= $30.21

∴ The total amount the customer pays for the discounted book is $30.21.