Rising price

The book first become more expensive by 5 euros. New price was later increased by 8%. After the second price increase book cost 46 euros.

What was the original price of the book?

Correct answer:

x =  37.59 Eur

Step-by-step explanation:

$$\begin{gathered} (x+5)(1+{\displaystyle \frac{8}{100}})=46 \\ x={\displaystyle \frac{46}{1+8\mathrm{/}100}}-5=37.59\text{ Eur} \end{gathered}$$

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