Slovakia's 65524

Slovakia's VAT rate is reduced to 10% on some goods (e.g., books, textbooks, and medicines). Normal VAT is 20%.
How much would we pay for a book that cost 69.00 euros if we didn't have to pay VAT?

Correct answer:

x =  62.7273 eur

Step-by-step explanation:

$$\begin{gathered} q=100\%+10\%=1+\frac{10}{100}=1.1 \\ x\cdot q=69.00 \\ x\cdot 1.1=69.00 \\ 1.1x=69 \\ x=\frac{69}{1.1}=62.72727273 \\ x=\frac{690}{11}\doteq 62.727273=62.7273\text{eur} \end{gathered}$$

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