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Math

QuestionWhat was the sales tax rate if Karen paid \$43.70 for a book that cost \$40?

Studdy Solution

STEP 1

Assumptions1. The price Karen paid for the book is 43.70.Theoriginalpriceofthebookwas43.70. The original price of the book was 403. The difference between the price Karen paid and the original price is the sales tax4. The sales tax rate is calculated based on the original price of the book

STEP 2

First, we need to find the amount of sales tax. We can do this by subtracting the original price of the book from the price Karen paid.
Sales tax=Price Karen paid−Original priceSales\, tax = Price\, Karen\, paid - Original\, price

STEP 3

Now, plug in the given values for the price Karen paid and the original price to calculate the sales tax.
Sales tax=$43.70−$40Sales\, tax = \$43.70 - \$40

STEP 4

Calculate the sales tax amount.
Sales tax=$43.70−$40=$3.70Sales\, tax = \$43.70 - \$40 = \$3.70

STEP 5

Now that we have the sales tax amount, we can find the sales tax rate. This is done by dividing the sales tax by the original price of the book and then multiplying by100 to get a percentage.
Sales tax rate=(Sales taxOriginal price)×100%Sales\, tax\, rate = \left(\frac{Sales\, tax}{Original\, price}\right) \times100\%

STEP 6

Plug in the values for the sales tax and the original price to calculate the sales tax rate.
Sales tax rate=($3.70$40)×100%Sales\, tax\, rate = \left(\frac{\$3.70}{\$40}\right) \times100\%

STEP 7

Calculate the sales tax rate.
Sales tax rate=($3.70$40)×100%=9.25%Sales\, tax\, rate = \left(\frac{\$3.70}{\$40}\right) \times100\% =9.25\%The sales tax rate was9.25%.

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