CI amounts in two consecutive years given: rate or principal

This type of question, asked 3 times: 12 Sep 2025 S1, 14 Sep 2025 S2, 15 Sep 2025 S3. All 3 questions below, oldest first.

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Question 1
12 Sep 2025 S1
61 $A sum becomes ₹6,600 in 2 years and ₹7,920 in 3 years at compound interest. What is the original principal?$
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Question 2
14 Sep 2025 S2
63 $A certain amount grows to ₹6400 in 2 years and ₹7040 in 3 years. Determine the interest rate.$
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Question 3
15 Sep 2025 S3
60 $If the amount at the end of the 2nd year and 3rd year on a certain principal at compound interest is ₹12,000 and ₹13,200 respectively, find the rate of interest per annum.$
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Question 1