Second hand store

The price of goods in the store for used goods is determined by agreement, while the sale price is deducted 15% commission - for the store owner. Mathias's parents decided to sell the TV to make their net profit at least 50 euros. What was the minimum selling price of the TV?

Correct answer:

x =  58.82 Eur

Step-by-step explanation:

$$\begin{gathered} q=15\%=\frac{15}{100}=\frac{3}{20}=0.15 \\ x=50+x\cdot q \\ x=50+x\cdot 0.15 \\ 0.85x=50 \\ x=\frac{50}{0.85}=58.82352941 \\ x=\frac{1000}{17}\doteq 58.823529=58.82\text{Eur} \end{gathered}$$

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