T.D = (16 x 100)/ (4/3 x 15/2) = Rs. 160
B.D. = Rs. 160 + Rs. 16 = Rs. 176
? Sum = [176 x 100] / [(4/3) x (15/2)] = Rs. 1760
Interest on Sum - True discount
= Interest on true Discount.
Proof Sum = P.W. + T.D.
? Interest on Sum = Interest on P.W. + Interest on T.D.
= T.D. + Interest on T.D.
Interest on Sum - T.D. = Interest on T.D. or Banker's gain = Int. on T.D.
Rs. 67.20 - Rs. 60 = Interest on Rs. 60
? Rs. 71/5 = Interest on Rs. 60
? Re.1 = Interest on Rs. 60/71/5
? Rs. 671/5 = Interest on Rs. 60 / 71/5 x 671/5
? The required sum = Rs. 60/71/5 x 671/5 = Rs. 560
Difference between banker's discount and the true discount = Banker's gain.
? B.G. = (B.D.) - (T.D.)
B.D. = FTR / 100
= [8100 x (1/4) x 5] / 100
= 101.25
T.D. = FTR / (100 + TR)
= [8100 x (1/4) x 5] / (100 + 5/4)
= 100
? B.G. = 101.25 - 100
= Rs. 1.25
According to question ,
Required Sum = PW of Rs. 702 due 6 months hence + PW of Rs. 702 due 1 year hence = Rs. 1325
Thus , required sum is Rs. 1325 .
160 = ?1600 x B.G.
? B.G. = (160 x 160)/1600 = Rs. 16
? Banker's discount = 160 + 16 = Rs. 176
[? B.D. = T.D. + B.G.]
Clearly S.I. on Rs. 17850 at 5% is Rs. 357.
? Time = (100 x 357) / (17850 x 5) = 2/5 = 146 days
So, the bill is 146 days prior to 24th May, the legally due date
May, April, March, Feb., Jan.,Dec.,
= 24 + 30 + 31 + 28 + 31 + 2 = 146 days
So, the bill was discounted on 29 Dec. 1990.
Let the sum be Rs. 100. Then, B.D = Rs. 5.
Proceeds = Rs. (100 - 5) = Rs. 95.
? Rs. 5 must be the interest on Rs. 95 for 1 year.
So, rate = (100 x 5) / (95 x 1) = 55/19%
Comments
There are no comments.Copyright ©CuriousTab. All rights reserved.