Question

If an item is 4.75 before tax and after is 5.13 how much is the sales tax rate?

Answer 1

8%

Step-by-step explanation:

total price/item price = sales tax

5.13/4.75 = 1.08 = 8%

Answer 2

8%

Explanation:

Let's say the tax percent was x%. Then, we can write the equation:

4.75 + x% * 4.75 = 5.13

Notice that both terms on the left have 4.75 so factor that out:

4.75 * (1 + x%) = 5.13

Divide both sides by 4.75:

1 + x% = 5.13/4.75 = 1.08

Subtract 1 from both sides:

x% = 0.08

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.08

Multiply both sides by 100:

x = 8

Thus, the tax rate is 8%.

Hope this helps!