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SI rate changes over successive periods, total interest given: the sum

This type of question, asked 3 times: 17 Jul 2023 S3, 20 Jul 2023 S2, 14 Sep 2025 S2. All 3 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S3

    69
    A person took a loan at 5%5\% per annum simple interest during the first year and with an increase of 0.5%0.5\% simple interest every year from the second year onwards. After 4 years, he paid ₹4,600 as a total interest to settle the loan completely. How much was the loan?

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  2. Question 2

    20 Jul 2023 S2

    52
    A sum of money earns a simple interest at 7.25% per annum for the first eight years, at 8.5% for the next six years, and at 6.5% for the final four years. If the total interest earned during these eighteen years was ₹35,100, what was the original sum invested (in ₹)?

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  3. Question 3

    14 Sep 2025 S2

    69
    Rahul borrowed a sum of money at simple interest of 5%5\% per annum for the first 3 years, 7%7\% per annum for the next 5 years, and 9%9\% per annum for the period beyond 8 years. If he pays a total of ₹6800 as interest only at the end of 10 years, how much money did he borrow?

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