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Compound interest compounded half-yearly: halve the rate, double the periods

This type of question, asked 6 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 2 Mar 2023 Tier II, 6 Mar 2023 Tier II, 26 Oct 2023 Tier II, 18 Jan 2026 Tier II. All 6 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    44
    A certain sum amounts to ₹15,500 in 2 years at 12% p.a. simple interest. The same sum will amount to what in 1121\frac{1}{2} years at 10% p.a., if the interest is compounded half yearly (nearest to ₹1)?

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  2. Question 2

    29 Jan 2022 Tier II

    4
    What is the difference (in ₹) between the interests on ₹50,000 for one year at 8% per annum compounded half yearly and yearly?

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  3. Question 3

    2 Mar 2023 Tier II

    8
    If interest be compounded half-yearly, then find the compound interest on ₹8,000 at the rate of 20% per annum for 1 year.

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  4. Question 4

    6 Mar 2023 Tier II

    29
    Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.

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  5. Question 5

    26 Oct 2023 Tier II

    23
    The compound interest on ₹10,000 at 20% per annum is ₹4,641. If the compounding is done half-yearly, then for how many years was the sum invested?

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  6. Question 6

    18 Jan 2026 Tier II

    21
    At what rate of interest per annum will a sum of ₹15,625 amount to ₹19,683 in 1 year 6 months, if the interest is compounded half-yearly?

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