In Germany, VAT is at 19%
1 answer:
Answer:
Amount of VAT paid by Jeremy is € 9.31 .
Step-by-step explanation:
As given
In Germany, VAT is at 19% .
Jeremy buys a calculator in Germany for €58.31
This price includes VAT.
Let us assume that the cost of calculator excluding tax is x .
19% is written in the decimal form .
= 0.19
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × x
= 0.19x
Than
Cost of calaculator + VAT price = Cost of calculator including VAT
x + 0.19 × x = 58.31
x + 0.19x = 58.31
1.19x = 58.31
x = €49 (Approx)
Thus cost price of calculator excluding VAT is €49 .
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × 49
= € 9.31
Therefore the amount of VAT paid by Jeremy is € 9.31 .
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The value of x will be equal to 2.477.
<h3>What is a logarithm?</h3>The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.
The given expression will be solved as follows;-
Taking Log on both sides.
(x-2) Log5 = Log 8
( x-2) = Log8 / Log 5
(x - 2) = Log 8 - Log 5
(x - 2 ) = Log 3
x-2 = 0.477
x = 2.477
Therefore the value of x will be equal to 2.477.
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