In liquidation, balances prior to the distribution of cash to the partners are: Cash $$240000$; Gary, Capital $$112200$; Stengel, Capital $$103000,$ and King, Capital $$24800.$ The income ratio is $6$:$2$:$2,$ respectively. How much cash shoul $ be distributed to Gary?

$$120000$

$$103000$

$$100200$

$$112200$