Simple interest


  1. Rashim lent ₹ 600 to Geeta for 2 yr and ₹ 150 to Seeta 4 yr and received altogether ₹ 80 as simple interest from both. Find the rate of interest.











  1. View Hint View Answer Discuss in Forum

    Given. T1 = 2 yr and T2 = 4 yr,
    P1 = 600, P2 = 150.

    According to the question,
    SI1 + SI2 = 80
    [(600 x R x 2)/100] + [(150 x R x 4)/100] = 80

    Correct Option: D

    Given. T1 = 2 yr and T2 = 4 yr,
    P1 = 600, P2 = 150.

    According to the question,
    SI1 + SI2 = 80
    [(600 x R x 2)/100] + [(150 x R x 4)/100] = 80
    ⇒ 120R + 60R = 800
    ⇒ 180R = 800
    ∴ R = 800/180 = 80/18 = 40/9
    = 44/9%


  1. The simple interest of a sum of money is 1/144 of the principal and the number of years is equal to the rate per cent per annum. What will be the rate per cent per annum ?











  1. View Hint View Answer Discuss in Forum

    Let the principal be P.
    Then, according to the question,
    (P x T x T) / 100 = P/144 [∵ time and rate are equal

    Correct Option: B

    Let the principal be P.
    Then, according to the question,
    (P x T x T) / 100 = P/144 [∵ time and rate are equal]
    ⇒ T2 = 100/144
    ∴ T = 10/12 = 5/6 %



  1. The simple interest on a sum of money is 1 / 16 of the principal and the number of years is equal to the rate per cent annum. Find the rate per cent.











  1. View Hint View Answer Discuss in Forum

    Let principal = P, time = T and rate = T
    According to the question,
    (P x T x T) / 100 = P/16 [∵ time and rate are equal]

    Correct Option: A

    Let principal = P, time = T and rate = T
    According to the question,
    (P x T x T) / 100 = P/16 [∵ time and rate are equal]
    ⇒ T2 = 100/16
    or T = 10/4 = 5/2 = 21/2 %


  1. The principle on which a simple interest of ₹ 55 will be obtained after 9 months at the rate of 32/3% per annum is









  1. View Hint View Answer Discuss in Forum

    Let. principal = P
    Given, SI = 55, Time T = 9 months = 9/12 yr,
    Rate R = 32/3% = 11/3 %
    ∴ SI = (P x R x T) / 100
    ⇒ P = (100 x SI) / (R x T)

    Correct Option: C

    Let. principal = P
    Given, SI = 55, Time T = 9 months = 9/12 yr,
    Rate R = 32/3% = 11/3 %
    ∴ SI = (P x R x T) / 100
    ⇒ P = (100 x SI) / (R x T)
    ⇒ (55 x 100) / [(11 x 9) / (3 x 12)] = 2000
    ∴ Principal (P) = ₹ 2000



  1. The simple interest on a sum of money will be ₹ 200 after 5 yr In the next 5 yr principal is tripled. What will be the total interest at the end of the 10th yr ?









  1. View Hint View Answer Discuss in Forum

    According to the question,
    SI for 5 yr = ₹ 200
    ∴ Total SI for 10 yr = 200 + 600 = ₹ 800

    Correct Option: C

    According to the question,
    SI for 5 yr = ₹ 200
    ∴ Total SI for 10 yr = 200 + 600 = ₹ 800
    When principal is trebled, then SI for 5 yr will also be treble and hence
    SI for next 5 yr will be ₹ (200 x 3) i.e., ₹ 600.