Peter 28

Peter bought shares of a foreign company for a total of €3,000. Today their value is 50% lower. By how much percent must the price of these shares increase from today for their total value to return to the original €3,000?

Final Answer:

p₂ =  100 %

Step-by-step explanation:

$$\begin{gathered} a=3000\text{eur} \\ {r}_1=100\%-50\%=1-\frac{50}{100}=0.5 \\ b=a\cdot r_1=3000\cdot 0.5=1500\text{eur} \\ b\cdot r_2=a \\ {r}_2=a/b=3000/1500=2 \\ {p}_2=100\cdot (r_2-1)=100\cdot (2-1)=100\% \end{gathered}$$

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