Question

If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sales tax?

a.$2.48

Answer 1

Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.

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Answer 2

The sales tax is $2.48

Explanation:

We have a final price of $25.00 wich includes an 11% sales tax. In order to know the amount of the tax, we can calculate that a given value x, should have a final price of $25.00 wich includes the tax in that amount, not in x, meaning

`x=(25)/(1+0.11) \Leftrightarrow x=22.52`

So, this is the value of the purchase without tax, and the tax is the difference between the final amount, and this value

`tax=25-22.52=2.48`

Finally, the sales tax is $2.48.