A doctor has an annual income of ＄$$120,000$$. The income tax is $$6 \%$$ of the first ＄$$50,000$$ and any amount above ＄$$50,000$$ is taxed at a rate of $$\left( 6+T \right) \%$$. The doctor noticed that the income tax he paid was＄$$10, 000$$. Find $$T$$. 
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