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 present worth of a sum due some times 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
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    T.D. √(P.W. x B.G. )

    Correct Option: C

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

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  1. The banker's gain on a certain sum due 21/2 years hence is 2/23 of the banker's discount on it for the same time and at the same rate. Find the rate percent ?
    1. 5%
    2. 4%
    3. 8%
    4. 6%
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    Rate percent = 100 x 2/5/ [ 3/(23 - 3)]

    Correct Option: D

    Rate percent = 100 x 2/5/ [ 3/(23 - 3)] = 6%

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  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
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    T.D. = √(P.W.) X {(B.G.)

    Correct Option: C

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

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  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
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    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

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