A sum of ₹$1,250$ is divided among $A$, $B$, and $C$ such that $A$ gets $\frac{2}{9}$ of $B$'s share and $C$ gets $\frac{3}{4}$ of $A$'s share. What is $C$'s share?
Options:
- A: ₹$150$
- B: ₹$200$
- C: ₹$250$
- D: ₹$300$
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