Jake purchased a $$100,000120-$day T$-$bill discounted to yield $1\mathrm{.}31\%.$ When he sold it $45$ days later, yields had dropped to $1\mathrm{.}25\%.$ How much did Jake earn? $($Use $365$ days a year. Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Jake earned

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