99-1 Vs 50-50

Mario and Luigi each invest $100 into a mutual fund that earns 5% a year. After each year, Mario reinvests 99% of his interest earned and withdraws 1% of his interest earned. After each year, Luigi reinvests 50% of his interest earned and withdraws 50% of his interest earned. After how many years will Mario have withdrawn an equal amount of interest earned to Luigi?

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