What is the selling price including VAT, if the VAT amounts to $€3.41$?

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VAT rate is $8 \%.$ How I calculate the answer?

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If the vat rate is $0.08$ then the selling price without vat is given by $$S = 3.41/8 * 100 = 42.625$$

Then the overall price is given by $$P = 42.625 + 3.41 = 46.035$$ which rounded gives $46.04$

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Hint: Let $x$ be the Price without VAT. Then its VAT is $$8\%\times x.$$ The actual VAT is known, so you can find $x$.

To find the actual selling price add $x$ and the VAT.