A sum of money invested at compound interest amounts to $\text{Rs. } 4,500$ after $3$ years and to $\text{Rs. } 6,750$ after $6$ years. Find the principal sum.

Options:

  • A: $\text{Rs. } 2,800$
  • B: $\text{Rs. } 3,000$
  • C: $\text{Rs. } 3,200$
  • D: $\text{Rs. } 3,500$

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