A $$100$ million venture capital fund generates a $4$X return. The carried interest on this fund is $30\%.$ Based on this, when the VC makes the distribution on the fund, how much will go to the limited partners $($LPs$)$ and how much to the general partner $($the VC$)?$ $$300$ million to LPs$,$ $$100$ million to VC $$80$ million to LPs; $$20$ million to VC $$310$ million to LPs$,$ $$90$ million to VC $$210$ million to LPs$,$ $$90$ million to VC $$310$ million to VC$,$ $$90$ million to L