$A$ and $B$ enter into a partnership for a year. $A$ contributes $₹ 1500$ and $B$ $₹ 2000$. After $4$ months,they admit $C$,who contributes $₹ 2250$. If $B$ withdraws his contribution after $9$ months,how would they share a profit of $₹ 900$ at the end of the year?
- A$6: 8: 9$
- B$8: 6: 9$
- C$1: 1: 1$
- D$1: 2: 3$
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