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Total invested in three SI schemes giving equal interest: amount at one rate

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

Try each one first, then open its answer.

  1. Question 1

    18 Sep 2025 S1

    59
    A person invested a total sum of ₹2200 in three different schemes of simple interest at 4%4\%, 5%5\%, and 10%10\% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 5%5\%?

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  2. Question 2

    19 Sep 2025 S3

    58
    A person invested a total sum of ₹1900 in three different schemes of simple interest at 2%2\%, 4%4\%, and 5%5\% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 4%4\%?

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