$A$ and $B$ enter into a partnership; $A$ invests ₹ $50$ and $B$ invests ₹ $45$. At the end of $4$ months,$A$ withdraws half his capital and at the end of $5$ months,$B$ withdraws $\frac{1}{2}$ of his capital. $C$ then enters with a capital of ₹ $70$. At the end of $12$ months,the total profit is ₹ $254$. How should the profit be divided among $A$,$B$,and $C$?

• A
  $76, 80$ and $98$
• B
  $80, 76$ and $98$
• C
  $76, 98$ and $80$
• D
  $80, 98$ and $76$