Simple interest


  1. A sum becomes its double in 10 yr. Find the annual rate of simple interest.











  1. View Hint View Answer Discuss in Forum

    Here, n = 2, T = 10 yr
    ∴ R = 100 (n - 1)/T

    Correct Option: C

    Here, n = 2, T = 10 yr
    ∴ R = 100 (n - 1)/T
    = 100(2 - 1)/10
    = 100/10
    = 10%


  1. The simple interest on a sum of money at 8% per annum for 6 yr is half the sum. What is the sum ?











  1. View Hint View Answer Discuss in Forum

    Let sum = P
    Then, according to the question.
    SI = P/2
    ∴ P/2 = (P x 8 x 6)/100

    Correct Option: D

    Let sum = P
    Then, according to the question.
    SI = P/2
    ∴ P/2 = (P x 8 x 6)/100
    ∴ It is clear that data is inadequate.



  1. The simple interest on a sum of money at 9% per annum for 5 yr is half the sum. What is the sum ?









  1. View Hint View Answer Discuss in Forum

    Let the sum be P.
    ∵ SI = P/2
    ∴ P/2 = (P x 9 x 5)/100

    Correct Option: D

    Let the sum be P.
    ∵ SI = P/2
    ∴ P/2 = (P x 9 x 5)/100
    Clearly data is inadequate.


  1. A sum of money amounts to ₹ 2240 at 4% per annum simple interest in 3 yr. The interest on the same sum for 6 months at 3.5% per annum is









  1. View Hint View Answer Discuss in Forum

    If the sum be ₹ P, then
    (2240 - P) = (P x 4 x 3)/100
    ⇒ 2240 = 12P/100 + P
    ⇒ 2240 = 112P/100
    ∴ P = (2240 x 100)/112 = ₹ 2000

    Now, required interest,
    SI = PRT/100 = [{2000 x (7/2) x (1/2)} /100]

    Correct Option: C

    If the sum be ₹ P, then
    (2240 - P) = (P x 4 x 3)/100
    ⇒ 2240 = 12P/100 + P
    ⇒ 2240 = 112P/100
    ∴ P = (2240 x 100)/112 = ₹ 2000

    Now, required interest,
    SI = PRT/100 = [{2000 x (7/2) x (1/2)} /100]
    = ₹ 35



  1. The simple interest on ₹ 4000 in 3 yr at the rate of R % per annum equals equals to the simple interest on ₹ 5000 at the rate of 12% per annum in 2 yr The value of R is









  1. View Hint View Answer Discuss in Forum

    Since, the two simple interest are equal.
    Then, (4000 x 3 x R)/100 = (5000 x 12 x 2)/100

    Correct Option: D

    Since, the two simple interest are equal.
    Then, (4000 x 3 x R)/100 = (5000 x 12 x 2)/100
    ∴ R = 10%