Banker's Discount
 The true discount on a bill of Rs. 1860 due after 8 months is Rs. 60. Find the banker's gain ?

 Rs. 1.5
 Rs. 2.5
 Rs. 4
 Rs. 2

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P.W. = Rs. 1860  Rs. 60 = Rs. 1800
∴ B.G. = (T.D.)^{2}/P.W.Correct Option: D
P.W. = Rs. 1860  Rs. 60 = Rs. 1800
∴ B.G. = (T.D.)^{2}/P.W. = (60 x 60)/1800 = Rs. 2
 The banker's discount on a bill due 6 months hence at 6% is Rs. 37.08. Find the true discount ?

 Rs. 38
 Rs. 32
 Rs. 36
 None of these

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37.08 = T.D. [1 + 3/100]
Correct Option: C
37.08 = T.D. [1 + 3/100]
∴ T.D. = 3708 / 103 = Rs. 36
 The banker's discount on a certain sum due 2 years later is 11/10 of the true discount. the rate percent is ?

 11%
 10%
 5%
 5^{1}/_{3}

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Let T.D. be Re. 1. Then, B.D. = Rs. (11/10) = Rs. 1.10
∴ Sum = Rs. 1.10 x 1/(1.10  1)Correct Option: C
Let T.D. be Re. 1. Then, B.D. = Rs. (11/10) = Rs. 1.10
∴ Sum = Rs. 1.10 x 1/(1.10  1)
= Rs. 1.10 / 0.10 = Rs.11
So, S.I. on Rs. 11 for 2 years is Rs. 1.10
∴ Rate = (100 x 1.10) / (11 x 2)% = 5%
 The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. Then the banker's discount is ?

 Rs. 37
 Rs. 34.38
 Rs. 37.62
 Rs. 38.98

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B.G. = (T.D.)^{2} / P.W. = Rs. (36 x 36) / 800 = Rs. 1.62
∴ B.D. = (T.D.) + (B.G.) = Rs. (36 + 1.62)Correct Option: C
B.G. = (T.D.)^{2} / P.W. = Rs. (36 x 36) / 800 = Rs. 1.62
∴ B.D. = (T.D.) + (B.G.) = Rs. (36 + 1.62)
= Rs. (37.62)
 The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is ?

 Rs. 60
 Rs. 150
 Rs. 108
 Rs. 110

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P.W. = Rs. (540  90) = Rs. 450
S.I. on Rs. 450 = Rs. 90
B.D. = S.I. on Rs. 540Correct Option: C
P.W. = Rs. (540  90) = Rs. 450
S.I. on Rs. 450 = Rs. 90
B.D. = S.I. on Rs. 540
= Rs. (90/450) x 540 = Rs. 108