Banker's Discount


  1. The banker's gain of a sum due 8 yr. hence at 24% per annum, is ₹ 144. Find the present worth of that bill ?
    1. ₹ 39.06
    2. ₹ 45
    3. ₹ 38.06
    4. ₹ 50

  1. View Hint View Answer Discuss in Forum

    Given that BG = ₹ 144 , R = 24%
    T = 8 yr and PW = ?
    According to the formula,
    PW = BG x [100/(R x T)]2
    = 144 x [100/(24 x 8)]2

    Correct Option: A

    Given that BG = ₹ 144 , R = 24%
    T = 8 yr and PW = ?
    According to the formula,
    PW = BG x [100/(R x T)]2
    = 144 x [100/(24 x 8)]2
    = 144 x (100/192) x (100/192)
    = ₹ 39.06


  1. If the banker's discount and banker's gain on a certain bill, are ₹ 196 and ₹ 28, respectively. Find the amount of bill .
    1. ₹ 1200
    2. ₹ 1376
    3. ₹ 1176
    4. ₹ 1400

  1. View Hint View Answer Discuss in Forum

    Given that, BD = ₹ 196 and BG = ₹ 28
    ∴ TD = BD - BG = 196 - 28 = ₹ 168
    According to the formula,
    A = (BD x TD)/BG = (196 x 168)/28

    Correct Option: C

    Given that, BD = ₹ 196 and BG = ₹ 28
    ∴ TD = BD - BG = 196 - 28 = ₹ 168
    According to the formula,
    A = (BD x TD)/BG = (196 x 168)/28
    = 196 X 6
    = ₹ 1176



  1. The present worth of a sum due sometimes hence is Rs. 576 and the banker's gain is Re. 1. The true discount is ?
    1. Rs. 16
    2. Rs. 18
    3. Rs. 24
    4. Rs. 32

  1. View Hint View Answer Discuss in Forum

    T.D. = √(P.W.) X {(B.G.)

    Correct Option: C

    T.D. = √(P.W.) X {(B.G.)
    = √(576 x 1) = Rs. 24


  1. The banker's gain on a bill due 1 year hence at 5% is Re. 1. The true discount is ?
    1. ₹ 15
    2. ₹ 20
    3. ₹ 25
    4. ₹ 5

  1. View Hint View Answer Discuss in Forum

    T.D. = (B.G x 100) / (R x T)

    Correct Option: B

    T.D. = (B.G x 100) / (R x T)
    = (1 x 100) / (5 x 1)
    = ₹ 20



  1. Find the banker's discount on a bill due 3 years hence at 5% being given that the banker's gain is Rs. 90 ?
    1. Rs. 550
    2. Rs. 650
    3. Rs. 690
    4. Rs. 600

  1. View Hint View Answer Discuss in Forum

    T.D. = (90 x 100) / (3 x 5) = Rs. 600
    ∴ Banker's discount = True discount + Banker's gain

    Correct Option: C

    T.D. = (90 x 100) / (3 x 5) = Rs. 600
    ∴ Banker's discount = True discount + Banker's gain
    = Rs. 600 + Rs. 90
    = Rs. 690