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Banker's Discount

  1. The banker's gain of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time and at the same rate is Rs. 30. The sum is ?
    1. Rs. 1080
    2. Rs. 180
    3. Rs. 500
    4. Rs. 300
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    Sum = (B.D. x T.D.) / (B.D. - T.D.)

    Correct Option: B

    Sum = (B.D. x T.D.) / (B.D. - T.D.) = Rs. (36 x 30) / 6
    = Rs. 180

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  1. The banker's gain of a certain sum due 2 years hence at 5% per annum is Rs. 80. The present worth is ?
    1. Rs. 800
    2. Rs. 1600
    3. Rs. 1200
    4. Rs. 880
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    T.D. = (B.G. X 100) / (Rate x Time)

    Correct Option: A

    T.D. = (B.G. X 100) / (Rate x Time)
    = Rs. (80 x 100) / (5 x 2)
    = Rs. 800

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  1. The present worth of a certain due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is ?
    1. Rs. 10
    2. Rs. 16
    3. Rs. 20
    4. Rs. 24
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    B.G. = (T.D.)2 / P.W.

    Correct Option: B

    B.G. = (T.D.)2 / P.W.
    = Rs. (160 x 160) / 1600
    = Rs. 16

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  1. The banker's gain on a sum due 3 years hence at 5% is Rs. 90. The banker's discount is ?
    1. Rs. 690
    2. Rs. 720
    3. Rs. 810
    4. Rs. 150
  1. View Hint | View Answer | Workspace | Discuss In Forum | Report

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

    Correct Option: A

    T.D. = (B.G. x 100) / (R x T) = Rs. (90 x 100) / (5 x 3)
    = Rs. 600
    ∴ B.D. = Rs. (600 +90) = Rs. 690

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  1. The banker's discount on a bill due 6 months hence at 6% is Rs. 37.08. The true discount is ?
    1. Rs. 6.18
    2. Rs. 12.36
    3. Rs. 48
    4. Rs. 36
  1. View Hint | View Answer | Workspace | Discuss In Forum | Report

    T.D. = (B.D. X 100) / {100 + (R X T)}

    Correct Option: D

    T.D. = (B.D. X 100) / {100 + (R X T)}
    = Rs. (37.08 x 100) / {100 + (6 x 1/2)}
    = Rs. 36

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