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.

Cost of Calculator = €58.31

VAT = 19%

So,

58.31 * 19% = 58.31 * 19 / 100

= €11.07

Therefore, the amount of VAT paid by Jerrmy is €11.07.