Amount = Rs. 1860.
True discount = Rs. 60
? Present worth = Rs. 1860 - Rs. 60 = Rs. 1800
S.I. on Rs. 1800 for 8 months = Rs. 60
? Rate = [(100 x 60) / (1800 x 2/3)]% = 5%
? Banker's discount = (1860 x 5 x 2/3)/100 = Rs. 62
T.D. = (B.D. X 100) / {100 + (R X T)}
= Rs. (37.08 x 100) / {100 + (6 x 1/2)}
= Rs. 36
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
B.G. = (T.D.)2 / P.W.
= Rs. (160 x 160) / 1600
= Rs. 16
T.D. = (B.G. X 100) / (Rate x Time)
= Rs. (80 x 100) / (5 x 2)
= Rs. 800
Sum = (B.D. x T.D.) / (B.D. - T.D.) = Rs. (36 x 30) / 6
= Rs. 180
T.D. ?(P.W. x B.G. )
= ?(576 x 1) = Rs. 24
Rate percent = 100 x 2/5/ [ 3/(23 - 3)] = 6%
Given That, A = ? 12750, R = 6%
and T = 4 Months = 4/12 = 1/3 yr , BD = ?
According to the formula,
BD = (A x R x T)/100
= [12750 x 6 x (1/3)] / 100
= (12750 x 2) / 100
= ? 255
Present worth of bill = ? (7440 - 240) = ? 7200
? Banker's Gain (BG) = (TD)2/PW
= (240 x 240) / 7200
= 576/72
= ? 8
Given that BG = ? 144 , R = 24%
T = 8 yr and PW = ?
According to the formula,
PW = BG x [100/(R x T)]2
= 144 x [100/(24 x 8)]2
= 144 x (100/192) x (100/192)
= ? 39.06
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