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Simple and Compound Interest

CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 5 times: CDS 1 2017, CDS 2 2017, CDS 1 2021, CDS 1 2023, CDS 1 2024. This one: CDS 1 2024 See all 5 of this type

    47
    Let x be the compound interest at the end of 3 years on a sum of Rs. 1000 at the rate of 10% compounded annually and y be the simple interest at the end of 3 years on a sum of Rs. 1000 at the annual rate of 11%. What is the difference between x and y ?

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  2. Question 2

    This type asked 4 times: CDS 2 2019, CDS 2 2023, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    28
    A sum of money at the rate of 5% per annum compounded annually becomes n times in 100 years. What is the value of n ? (Given log⁡102=0.301\log_{10} 2 = 0.301, log⁡103=0.477\log_{10} 3 = 0.477 and log⁡107=0.845\log_{10} 7 = 0.845)

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  3. Question 3

    This type asked 4 times: CDS 2 2022, CDS 2 2023, CDS 1 2025, CDS 1 2026. This one: CDS 1 2026 See all 4 of this type

    12
    In what duration of time will Rs. 3300 become Rs. 3399 at 12% per annum interest compounded quarterly ?

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  4. Question 4

    Asked 3 times: CDS 1 2017*, CDS 2 2017*, CDS 1 2021 (* = numbers or wording changed that year) See all 3 times it was asked

    33
    The difference between the compound interest (compounded annually) and the simple interest on a certain sum of money at 12% per annum for 2 years is Rs. 72. What is the principal amount?

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  5. Question 5 (case study, 2 parts)

    This type asked 3 times: CDS 1 2019, CDS 1 2022, CDS 1 2026. This one: CDS 1 2026 See all 3 of this type

    For the next two (02) items that follow : A person borrows a sum of Rs. 16,000 on simple interest at the beginning of a year. After 4 months, Rs. 24,000 more is borrowed at a rate of interest double the previous one. At the end of the year, the total interest on both the loans is Rs. 4800.
    89
    What is the initial rate of interest per annum ?

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    90
    What is the ratio of the interest on the first loan to the interest on the second loan ?

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  6. Question 6

    This type asked 3 times: CDS 1 2018, CDS 1 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    32
    A sum of money was invested at simple interest at a certain rate for 5 years. Had it been invested at a 5% higher rate, it would have fetched Rs. 500 more. What was the principal amount?

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  7. Question 7

    Asked 2 times: CDS 1 2017*, CDS 2 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    An amount of Rs. 10,000 is borrowed at 10%10\% per annum on compound interest for 3 years, compounded annually, and paid back in 3 equal annual installments during these years. What is the amount of each installment (approximately)?

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  8. Question 8

    Asked 2 times: CDS 2 2019*, CDS 1 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    49
    What is the least number of complete years in which a sum of money put out at 20% compound interest (compounded annually) will be more than doubled ?

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  9. Question 9

    Asked once: CDS 1 2024 (same type asked 5 times) See all 5 of this type

    4
    If the rate of interest is 5%, then what would be the difference between compound interest and simple interest received on Rs. 10,000 (each) after 3 years from now ?

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  10. Question 10

    Asked once: CDS 2 2023 (same type asked 4 times) See all 4 of this type

    53
    A sum of money at 20% rate of compound interest per annum becomes more than 100 times in n years. What is the least value of n ? (Use log⁡102=0.301\log_{10} 2 = 0.301, log⁡103=0.477\log_{10} 3 = 0.477)

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