On germany, vat is at 19%. jeremy buys a calculator in germany for €58.31 this price includes vat. find the amount of vat paid by jerrmy

We can use this equation to solve this problem:

t = p + ( p ⋅ r )

Where:

t = is the total price paid: 58.31 for this problem

p = is the price before taxes: What we are solving for in this problem.

r = is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as

19/100

or

0.19

.

Substituting and solving for

p gives:

58.31 = p + ( p ⋅ 0.19 )

58.31 = 1p + 0.19p

58.31 = ( 1 + 0.19 )p

58.31 = 1.19p

58.31/1.19 = 1.19p/1.19

p = 49

Now, the tax paid is 58.31 - 49 which is 9.31.