The total purchase price is $ 357.75
Solution:
Joanna buys a table and 2 chairs
Cost of table = $ 250
Cost of 1 chair = $ 100
Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450
Thus, cost price = $ 450
She receives a 25% discount for being a preferred customer
Therefore, discount = 25 % of cost price
[tex]discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5[/tex]
Thus, amount after discount = cost price - discount
amount after discount = 450 - 112.5 = 337.5
Thus, amount after discount is $ 337.5
Then pays 6% sales tax on the discounted purchase price
Sales tax = 6 % of 337.5
[tex]sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25[/tex]
Thus, total purchase price is given as:
total purchase price = Amount after discount + sales tax
total purchase price = 337.5 + 20.25 = 357.75
Thus total purchase price is $ 357.75