Banker's Discount
 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 ?

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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
 The banker's gain of a certain sum due 2 years hence at 5% per annum is Rs. 80. The present worth is ?

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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
 The present worth of a certain due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is ?

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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
 The banker's gain on a sum due 3 years hence at 5% is Rs. 90. The banker's discount is ?

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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
 The banker's discount on a bill due 6 months hence at 6% is Rs. 37.08. The true discount is ?

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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