Compound Interest

Compound Interest

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Aptitude miscellaneous
  1. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is ₹ 300. Find the sum.








  1. View Hint View Answer Discuss in Forum

    Given in question , Difference = C.I. - S.I. = ₹ 300 , Time = 2 years , Rate = 10%
    Using the given formula ,

    Difference =
    PR2
    10000

    Correct Option: C

    Given in question , Difference = C.I. - S.I. = ₹ 300 , Time = 2 years , Rate = 10%
    Using the given formula ,

    Difference =
    PR2
    10000

    ⇒  300 =
    P × 10 × 10
    10000

    ⇒  P = 300 × 100 = ₹ 30000

  1. On what sum of money will the difference between S.I and C.I for 2 years at 5% per annum be equal to ₹ 25 ?








  1. View Hint View Answer Discuss in Forum

    Given Here , Difference = C.I. - S.I. = ₹ 25 , Time = 2 years , Rate = 5%

    Difference =
    PR2
    10000

    Correct Option: A

    Given Here , Difference = C.I. - S.I. = ₹ 25 , Time = 2 years , Rate = 5%

    Difference =
    PR2
    10000

    ⇒  25 =
    P × 5 × 5
    10000

    ⇒  P = ₹ 10000

  1. The difference between the compound interest and simple interest for the amount ₹ 5,000 in 2 years is ₹ 32. The rate of interest is








  1. View Hint View Answer Discuss in Forum

    Given that , Principal = ₹ 5,000 , Difference = C.I. - S.I. = ₹ 32 , Time = 2 years , Rate = r%
    Using the given formula ,

    Difference of 2 years =
    p × r2
    10000

    ⇒ 32 =
    5000 × r2
    10000

    Correct Option: B

    Given that , Principal = ₹ 5,000 , Difference = C.I. - S.I. = ₹ 32 , Time = 2 years , Rate = r%
    Using the given formula ,

    Difference of 2 years =
    p × r2
    10000

    ⇒ 32 =
    5000 × r2
    10000

    ⇒ r2 =
    32 × 10000
    		 = ₹ 64
    5000

    ⇒  r = √ 64 = 8%

  1. The difference between simple and compound interest compounded annually, on a certain sum of money for 2 years at 4% per annum is ₹ 1. The sum (in ₹) is :








  1. View Hint View Answer Discuss in Forum

    Here , Difference = C.I. - S.I. = ₹ 1 , Time = 2 years , Rate = 4%
    The difference between compound interest and simple interest for two years

    C.I. - S.I. =
    Principal × (Rate)2
    100 × 100

    ∴  1 =
    Principal × (4)2
    10000

    Correct Option: C

    Here , Difference = C.I. - S.I. = ₹ 1 , Time = 2 years , Rate = 4%
    The difference between compound interest and simple interest for two years

    C.I. - S.I. =
    Principal × (Rate)2
    100 × 100

    ∴  1 =
    Principal × (4)2
    10000

    ⇒ Principal =
    10000
    		 = ₹ 625
    16

  1. The difference between compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum payable yearly is








  1. View Hint View Answer Discuss in Forum

    Given that , Principal = Rs. 5,000 , C.I. - S.I. = ? , Time = 2 years , Rate = 8%
    Using the given formula
    For 2 years,

    C.I. – S.I. =
    PR2
    10000

    Correct Option: D

    Given that , Principal = Rs. 5,000 , C.I. - S.I. = ? , Time = 2 years , Rate = 8%
    Using the given formula
    For 2 years,

    C.I. – S.I. =
    PR2
    10000

    C.I. – S.I. =
    5000 × 8 × 8
    		 = Rs. 32
    10000