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Y is the SI on X and Z the SI on Y, same rate and time: relation (Y^2 = XZ)

The same question, asked 2 times: 18 Sep 2025 S3*, 19 Sep 2025 S1. Every wording below, oldest first.

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  1. Question 1

    18 Sep 2025 S3

    59
    Suppose ₹X is invested, and after 2 years at 5%5\% simple interest, it yields ₹Y interest. If ₹Y is then invested for 2 years at 5%5\% simple interest, it yields ₹Z interest. Which of the following is true?

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  2. Question 2

    19 Sep 2025 S1

    58
    If A, B, and C are three amounts of money such that B is the simple interest on A, and C is the simple interest on B, all for the same time and at the same rate of interest, then which of the following is true?

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