A sum of money amounts to $\text{Rs. } 8,800$ in $2$ years and to $\text{Rs. } 10,000$ in $5$ years at simple interest. Find the principal sum and the rate of interest per annum.

Options:

• A: $\text{Rs. } 8,000 \text{ and } 5\%$
• B: $\text{Rs. } 7,500 \text{ and } 6\%$
• C: $\text{Rs. } 8,200 \text{ and } 4\%$
• D: $\text{Rs. } 8,500 \text{ and } 5\%$

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