$A, B$ and $C$ entered into a partnership in the ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$. After $2$ months,$A$ withdraws half of his capital and after $10$ months,a profit of ₹ $378$ is divided among them. What is $B$'s share (in ₹)?

  • A
    $129$
  • B
    $144$
  • C
    $156$
  • D
    $168$

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