Partner A was given $($by her mother$)$ her $10\%$ interest in a partnership in which capital is a material income$-$producing factor. The income of the partnership is $$200,000$ before consideration of any guaranteed payment to her mother. Her mother performs services for the partnership worth $$80,000,$ but only takes a guaranteed payment of $$30,000$ in return. How much income will $A$ be allocated from the partnership?

$$12,000$

$$20,000$

$$8,000$

$$3,000$