The compound interest on a sum of money for $2$ years is $\text{Rs. } 410$ and the simple interest for $2$ years is $\text{Rs. } 400$. Find the rate of interest per annum and the principal sum.

Options:

  • A: $\text{Rs. } 4,000 \text{ and } 5\%$
  • B: $\text{Rs. } 4,500 \text{ and } 4\%$
  • C: $\text{Rs. } 4,000 \text{ and } 4\%$
  • D: $\text{Rs. } 5,000 \text{ and } 5\%$

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