Banker's Discount


  1. The present worth of a sum due sometime hence is ₹ 576 And banker's gain is ₹ 9. Find the true and discount ?









  1. View Hint View Answer Discuss in Forum

    Given that PW = ₹ 576 , BG = ₹ 9 and TD = ?
    TD = PW x BG

    Correct Option: D

    Given that PW = ₹ 576 , BG = ₹ 9 and TD = ?
    TD = PW x BG
    = 576 x 9
    = 24 x 3
    = ₹ 72


  1. The present worth of a bill due sometime, hence is ₹ 2200 and true discount on the bill is ₹ 220. Find the banker's discount and banker's gain ?









  1. View Hint View Answer Discuss in Forum

    Given that, PW = ₹ 2200, TD = ₹ 220
    According to the formula,
    BG = (TD)2/PW

    Correct Option: A

    Given that, PW = ₹ 2200, TD = ₹ 220
    According to the formula,
    BG = (TD)2/PW = (220 x 220)/2200 = ₹ 22
    BD = (TD + BG) = ₹(220 + 22) = ₹ 242



  1. The true discount on a bill 24 months, hence at 24% per annum, is ₹ 144. What will be the banker's discount ?









  1. View Hint View Answer Discuss in Forum

    Given that, R = 24%, T = 24 months= 2 yr and TD = ₹ 144
    BD = TD + BG
    According to the formula,
    BG = (TD x R x T)/100 = (144 x 24 x 2)/100

    Correct Option: D

    Given that, R = 24%, T = 24 months= 2 yr and TD = ₹ 144
    BD = TD + BG
    According to the formula,
    BG = (TD x R x T)/100 = (144 x 24 x 2)/100
    = ₹ 69.12
    ∴ BD = 144 + 69.12 = ₹ 213.12


  1. The face value of a bill due 5 yr hence is ₹ 13800. If the rate of simple interest is 5% per annum, what will be the banker's gain at the bill ?









  1. View Hint View Answer Discuss in Forum

    Give that A = ₹ 13800 , R = 5%
    T = 5 yr and BG = ?
    According to the formula,
    BG = [A(R x T)2] / [100(100 + R x T)]

    Correct Option: A

    Give that A = ₹ 13800 , R = 5%
    T = 5 yr and BG = ?
    According to the formula,
    BG = [A(R x T)2] / [100(100 + R x T)]
    = [13800(5 x 5)2] / [100(100 + 5 x 5)]
    = (13800 x 625) / (100 x 125)
    = ₹ 690



  1. The banker's discounted on a sum of money for 11/2 years is Rs. 60 and the true discount on the same sum for 2 years is Rs. 75. The rate percent is ?









  1. View Hint View Answer Discuss in Forum

    B.D. for 3/2 years = Rs. 60
    B.D. for 2 years = Rs. (60 x 2) / (3 x 2) = Rs. 80
    Now, B.D. = Rs. 80, T.D. = Rs. 75 and Time = 2 years.
    ∴ Sum = Rs. (80 x 75) / 5 = Rs. 1200
    ∴ Rs. 80 is S.I. Rs. 1200 for 2 years.

    Correct Option: D

    B.D. for 3/2 years = Rs. 60
    B.D. for 2 years = Rs. (60 x 2) / (3 x 2) = Rs. 80
    Now, B.D. = Rs. 80, T.D. = Rs. 75 and Time = 2 years.
    ∴ Sum = Rs. (80 x 75) / 5 = Rs. 1200
    ∴ Rs. 80 is S.I. Rs. 1200 for 2 years.
    So, rate = (100 x 80) / (1200 x 2)% = 31/3%