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SI on one sum equals SI on another: the period

The same question, asked 3 times: 14 Jul 2023 S1*, 24 Jul 2023 S2*, 26 Sep 2024 S3. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S1

    66
    In what time will ₹10,000 at 4% per annum, produce the same interest as ₹8,000 does in 4 years at 5% simple interest?

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  2. Question 2

    24 Jul 2023 S2

    60
    The simple interest on ₹800 for 6 years at 5.5% per annum is equal to the simple interest on ₹600 at 4% per annum for a certain period of time. The period of time is:

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  3. Question 3

    26 Sep 2024 S3

    55
    In how much time will ₹5,000 at 4%4\% per annum simple interest produce the same interest as ₹8,000 in 2122\frac{1}{2} years at 8%8\% per annum simple interest?

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