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Lesechka [4]
3 years ago
9

Joanna buys a table and 2 chairs. She receives a 25% discount for being a preferred customer and then pays 6% sales tax on the d

iscounted purchase price. If the table costs $250 and each chair costs $100, what is the total purchase price?
Mathematics
1 answer:
Scrat [10]3 years ago
4 0

The total purchase price is $ 357.75

<em><u>Solution:</u></em>

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

<em><u>She receives a 25% discount for being a preferred customer</u></em>

Therefore, discount = 25 % of cost price

discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

<em><u>Then pays 6% sales tax on the discounted purchase price</u></em>

Sales tax = 6 % of 337.5

sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25

<em><u>Thus, total purchase price is given as:</u></em>

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

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