The banker's discount on a certain sum due 2 years hence is11of the true discount.10
Let T.D. be Re. 1.
Then, B.D. = Rs.11= Rs. 1.10.10
Sum = Rs.1.10 x 1= Rs.110= Rs. 11.1.10 - 110
S.I. on Rs. 11 for 2 years is Rs. 1.10
Rate =100 x 1.10%= 5%.11 x 2
The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:
Sum =B.D. x T.D.= Rs.72 x 60= Rs.72 x 60= Rs. 360.B.D. - T.D.72 - 6012
The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:
B.G. =(T.D.)2= Rs.36 x 36= Rs. 1.62P.W.800
B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62
The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:
B.G. =(T.D.)2= Rs.160 x 160= Rs. 16.P.W.1600
The banker's gain on a certain sum due 11years hence is3of the banker's225
Let, B.D = Re. 1.
Then, B.G. = Re.3.25
T.D. = (B.D. - B.G.) = Re.1 -3= Re.22.2525
Sum =1 x (22/25)= Rs.22.1-(22/25)3
S.I. on Rs.22for 11years is Re. 1.32
Rate =100 x 1%=100= 91%.111122x332
The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
T.D. =B.G. x 100= Rs.6 x 100= Rs. 50.R x T12 x 1
The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
The banker's discount on a sum of money for 1 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
B.D. for years= Rs. 558.B.D. for 2 years= Rs.558 x2x 23= Rs. 744
T.D. for 2 years = Rs. 600.
Sum =B.D. x T.D.= Rs.744 x 600= Rs. 3100.B.D. - T.D144
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Rate =100 x 744%= 12%3100 x 2
The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
S.I. on Rs. 1600 = T.D. on Rs. 1680.
Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.
Time =100 x 80year=1year = 4 months.1600 x 153
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
T.D. =B.G. x 100= Rs.24 x 100= Rs. 120.Rate x Time10 x 2
P.W. =100 x T.D.= Rs.100 x 120= Rs. 600.Rate x Time10 x 2