Tennis racket

Tennis racket became cheaper by 16% in winter. In the spring, the price increased by 15%. After this increase, it cost € 38. How much did the rocket cost in the winter before cheapening?

Correct answer:

x =  39.34 Eur

Step-by-step explanation:

$$\begin{gathered} k_1=16\mathrm{\%}=1-{\displaystyle \frac{16}{100}}=0.84 \\ {k}_2=15\mathrm{\%}=1+{\displaystyle \frac{15}{100}}=1.15 \\ x\cdot k_1\cdot k_2=38 \\ x\cdot 0.84\cdot 1.15=38 \\ 0.966x=38 \\ x=39.337474=39.34\text{ Eur} \end{gathered}$$

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