Question

version 2: sales tax and total purchase price

1. the sales tax rate in indiana is 5.75% and you make a $29.99 purchase.

a) what is the sales tax?
b) what is the total purchase price?

1. martin bought an iphone for $649.99 in california, where the sales tax rate is 7.5%.

a) what is the sales tax?
b) what is the total purchase price?

1. mike purchased two blankets at $44.99 each, one mattress for $59.00 and two bed - sheets for a total of $9.99.the sales tax rate is 5.75 percent. what is the total purchase price, including sales tax?
2. nelly purchased a shredder at $39.99, laminator at $31.65, an electric pencil sharpener at $15.99 and a magnetic credit card reader at $14.99. the sales tax rate is 3 percent. what is the total purchase price, including sales tax?
3. you wish to purchase a pencil that costs $0.5, a sticker that costs $0.3 and gumball that costs $0.2. the tax rate is 5.75%.

a) whats the total purchase price before sales tax?
b) what is sales tax on your purchase?
c) what is the total purchase price?

Explanation:

1. Problem 1

a) Calculate sales - tax

The formula for sales - tax is $Sales\ tax=Purchase\ price\times Tax\ rate$. The purchase price is $29.99$ and the tax rate is $5.75\%=0.0575$.
$Sales\ tax = 29.99\times0.0575=29.99\times\frac{5.75}{100}=1.724425\approx1.72$

b) Calculate total purchase price

The formula for the total purchase price is $Total\ purchase\ price = Purchase\ price+Sales\ tax$.
$Total\ purchase\ price=29.99 + 1.72=31.71$

2. Problem 2

a) Calculate sales - tax

The purchase price is $649.99$ and the tax rate is $7.5\% = 0.075$.
$Sales\ tax=649.99\times0.075 = 48.74925\approx48.75$

b) Calculate total purchase price

$Total\ purchase\ price=649.99+48.75 = 698.74$

3. Problem 3

First, calculate the pre - tax total purchase price.
The cost of two blankets at $44.99$ each is $2\times44.99 = 89.98$, the cost of one mattress is $59.00$, and the cost of two bed - sheets at $9.99$ each is $2\times9.99 = 19.98$.
The pre - tax total is $89.98+59.00 + 19.98=168.96$.
The tax rate is $5.75\%=0.0575$.
$Sales\ tax=168.96\times0.0575 = 168.96\times\frac{5.75}{100}=9.7152\approx9.72$
The total purchase price is $168.96+9.72 = 178.68$

4. Problem 4

First, calculate the pre - tax total purchase price.
$39.99+31.65 + 15.99+14.99=102.62$
The tax rate is $3\%=0.03$.
$Sales\ tax=102.62\times0.03 = 3.0786\approx3.08$
The total purchase price is $102.62+3.08 = 105.70$

5. Problem 5

a) Calculate pre - tax total

The pre - tax total of the items is $0.5 + 0.3+0.2=1.00$

b) Calculate sales - tax

The tax rate is $5.75\%=0.0575$.
$Sales\ tax=1.00\times0.0575 = 0.0575\approx0.06$

c) Calculate total purchase price

$Total\ purchase\ price=1.00 + 0.06=1.06$

Answer:

1.
a) $\$1.72$
b) $\$31.71$
2.
a) $\$48.75$
b) $\$698.74$

1. $\$178.68$
2. $\$105.70$

5.
a) $\$1.00$
b) $\$0.06$
c) $\$1.06$