A doctor has an annual income of＄$$120000$$. The income tax is $$6 \%$$ of the first ＄$$50000$$ and any amount above＄$$50000$$ is taxed at a rate of $$\left( 6+T \right) \%$$. The doctor noticed that the income tax he paid was＄$$10000$$. Find $$T$$. (Adapted from $$2001$$ AMC $$12$$ Problem, Question \#$$3$$) 
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