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Three SI schemes with amounts in percentage relations, total one-year interest: one amount

The same question, asked 2 times: 15 Sep 2025 S2*, 16 Sep 2025 S2. Every wording below, oldest first.

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  1. Question 1

    15 Sep 2025 S2

    64
    Sarah invested amounts in three different schemes M, N, and O at simple interest rates of 10%10\% p.a., 12%12\% p.a., and 15%15\% p.a. respectively. If the total interest accrued in one year was ₹2282 and the amount invested in Scheme O was 180%180\% of the amount invested in Scheme M and 250%250\% of the amount invested in Scheme N, what was the amount invested in Scheme N?

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  2. Question 2

    16 Sep 2025 S2

    64
    An individual invested certain amounts in three different schemes P, Q, and R at simple interest rates of 7%7\% p.a., 9%9\% p.a., and 11%11\% p.a. respectively. If the total interest accrued in one year was ₹2520 and the amount invested in Scheme R was 250%250\% of the amount invested in Scheme P and 300%300\% of the amount invested in Scheme Q, what was the amount invested in Scheme P?

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