Simple interest


  1. At the rate of 81/2% per annum simple interest, a sum of ₹ 5800 will earn how much interest in 2 yr 3 months ?











  1. View Hint View Answer Discuss in Forum

    Time = 2 yr 3 months = 21/4 yr = 9/4 yr
    ∴ SI = [5800 x (17/2) x (9/4)] / 100

    Correct Option: B

    Time = 2 yr 3 months = 21/4 yr = 9/4 yr
    ∴ SI = [5800 x (17/2) x (9/4)] / 100
    = 8874/8
    = ₹ 1109.25
    = ₹ 1109


  1. A certain sum becomes 3 fold at 4% annual rate of interest. At what rate, it will become 6 fold ?











  1. View Hint View Answer Discuss in Forum

    Here, n = 3, m = 6, R1 = 4%
    ∴ R2 = [(m - 1)/(n - 1)] x R1

    Correct Option: A

    Here, n = 3, m = 6, R1 = 4%
    ∴ R2 = [(m - 1)/(n - 1)] x R1
    = [(6 - 1)/(3 - 1)] x 4
    =(5/2) x 4
    = 10%



  1. Kriya deposits an amount of ₹ 65800 to obtain a simple interest at the rate of 14% per annum for 4 yr. What total amount will Kriya get at the end of 4 yr ?











  1. View Hint View Answer Discuss in Forum

    Here, P = ₹ 65800, R = 14% T = 4 yr
    Hence, SI = (65800 x 14 x 4) / 100 =₹ 36848

    Correct Option: A

    Here, P = ₹ 65800, R = 14% T = 4 yr
    Hence, SI = (65800 x 14 x 4) / 100 =₹ 36848

    ∴ Required amount = P + SI
    = 65800 + 36848
    = ₹ 102648


  1. In a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest, the same sum becomes 8 times in the same duration ?









  1. View Hint View Answer Discuss in Forum

    Let the sum be p
    Then, for R = 5%
    SI = (4p - p) = 3p
    ∴ 3p = (P x 5 x T)/100 = PT/20
    ⇒ T = 60 yr

    Again, for another rate (R)
    SI = (8P - P) = 7P
    ∴ 7P = (P x R x 60)/100

    Correct Option: C

    Let the sum be p
    Then, for R = 5%
    SI = (4p - p) = 3p
    ∴ 3p = (P x 5 x T)/100 = PT/20
    ⇒ T = 60 yr

    Again, for another rate (R)
    SI = (8P - P) = 7P
    ∴ 7P = (P x R x 60)/100
    ⇒ R = (7 x 100)/60 = 35/3%
    = 112/3 %



  1. In what time does a sum of money become four fold at the simple interest ratio of 10% per annum ?











  1. View Hint View Answer Discuss in Forum

    Here, n = 4, R = 10, T = ?
    According to the formula,
    R = 100 (n - 1)/T

    Correct Option: B

    Here, n = 4, R = 10, T = ?
    According to the formula,
    R = 100 (n - 1)/T
    ⇒ 10 = [100(4 - 1)]/T = (100 x 3)/T
    ∴ T = 30 yr