exchange rates of Dollar + German mark (II Soros Olympiad 1995-96 R1 9.1)
Source:
June 2, 2024
algebra
Problem Statement
The exchange rates of the Dollar and the German mark during the week changed as follows:\begin{tabular}{|l|l|l|}
\hline
& Dollar & Mark \\ \hline
Monday & 4000 rub. & 2500 rub. \\ \hline
Tuesday & 4500 rub. & 2800 rub.\\ \hline
Wednesday & 5000 rub. & 2500 rub.\\ \hline
Thursday & 4500 rub. & 3000 rub.\\ \hline
Friday & 4000 rub. & 2500 rub.\\ \hline
Saturday & 4500 rub. & 3000 rub.\\ \hline
\end{tabular}What percentage was the maximum possible increase in capital this week by playing on changes in the exchange rates of these currencies? (The initial capital was in rubles. The final capital should also be in rubles. During the week, the available money can be distributed as desired into rubles, dollars and marks. The selling and purchasing rates are considered the same.)