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Extra SI from a higher rate or longer time: the sum

This type of question, asked 2 times: 27 Jul 2023 S2, 18 Sep 2024 S1. All 2 questions below, oldest first.

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  1. Question 1

    27 Jul 2023 S2

    51
    The simple interest on an amount for 6 years at 4%4\% p.a. is ₹7,500 less than the simple interest on the same amount for 11 years. Find the amount.

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  2. Question 2

    18 Sep 2024 S1

    65
    A certain sum of money is given at a certain rate of simple interest for 6 years. Had it been given at 7% higher rate, it would have fetched ₹1,512 more. Find the sum (in ₹).

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