Singer and McMann are partners in a business. Singer's original capital was $$43,600$ and McMann's was $$53,300.$ They agree to salaries of $$12,100$ and $$19,100$ for Singer and McMann, respectively, and $10\%$ interest on original capital. If they agree to share the remaining profits and losses in a $3$:$2$ ratio, what will Singer's share of the income be if the income for the year is $$70,800?$

a$.$ $$42,480$

b$.$ $$16,460$

c$.$ $$12,100$

d$.$ $$34,406$