Given that, PW = ? 2200, TD = ? 220
According to the formula,
BG = (TD)2/PW = (220 x 220)/2200 = ? 22
BD = (TD + BG) = ?(220 + 22) = ? 242
Given that, R = 24%, T = 24 months= 2 yr and TD = ? 144
BD = TD + BG
According to the formula,
BG = (TD x R x T)/100 = (144 x 24 x 2)/100
= ? 69.12
? BD = 144 + 69.12 = ? 213.12
Give that A = ? 13800 , R = 5%
T = 5 yr and BG = ?
According to the formula,
BG = [A(R x T)2] / [100(100 + R x T)]
= [13800(5 x 5)2] / [100(100 + 5 x 5)]
= (13800 x 625) / (100 x 125)
= ? 690
B.D. for 3/2 years = Rs. 60
B.D. for 2 years = Rs. (60 x 2) / (3 x 2) = Rs. 80
Now, B.D. = Rs. 80, T.D. = Rs. 75 and Time = 2 years.
? Sum = Rs. (80 x 75) / 5 = Rs. 1200
? Rs. 80 is S.I. Rs. 1200 for 2 years.
So, rate = (100 x 80) / (1200 x 2)% = 31/3%
B.D. = Rs. (5840 - 5767.20) = Rs. 72.80
Rs. 72.80 is S.I. on Rs. 5840 at 7%
So, Unexpired time = (100 x 72.80) / (7 x 5840) = 13/73 years = 65 days.
Now, date of draw o bill = April, 4 at 6 months.
Nominally due date = October 4.
Legally due date = October 7
So, we must go back 65 days from October 7.
Oct., sept., Aug. = 7 + 30 + 28
i.e., The bill was discounted on 3rd August.
Let the amount of bill be Rs. 100
Money deducted = Rs. 4
Money receive by holder of the bill = Rs. (100 - 4) = Rs. 96
S.I. on Rs. 96 for 10 months = Rs. 4
Rate = [(100 x 4 x 6) / (96 x 5)] = 5%
Given that PW = ? 576 , BG = ? 9 and TD = ?
TD = PW x BG
= 576 x 9
= 24 x 3
= ? 72
Given that, n = 81
According to the formula.
R = 10?1/n%
= 10?1/81%
= 10 x (1/9) % = 11/9 %
We know that
BG = SI on TD = (240 x 30 x 1 x 1)/100
= ? 72
BG = BD - TD
? BD = BG + TD
= 72 + 240
= ? 312
Let the amount of the bill = ? 100.
Money deducted = ? 30
Money received by the holder of the bill = ? (100 - 30) = ? 70
SI on ? 70 for 30 months = ? 30
? Rate = [100 x 30] / [70 x (30/12)]% per annum
= (10 x 3 x 12) / 21 %
= (10 x 12) / 7 %
= 120/7 %
= 171/7 %
Let B.D. be Re. 1. Then B.G. = Re. (3/23)
? T.D.= Re. (1 - 3/23) = Re. (20/23)
Sum = Rs. [(1 x 20/23 / (1 - 20/23)] = Rs. 20/3
? S.I. on Rs. 20/3 for 21/2 years is Re. 1
? Rate = (100 x 1 / 20/3 x 5/2)% = 6%
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