A man buys a house for $10000$ dollars and rents it. He puts $12\frac{1}{2}\%$ of each month's rent aside for repairs and upkeep, pays $325$ dollars a year in taxes, and realizes $5\frac{1}{2}\%$ on his investment. If the monthly rent is $x$ dollars, what is the value of $100x$?

Let's think step by step and output the final answer within \boxed{}.
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