T.D. = (90 x 100) / (3 x 5) = Rs. 600
? Banker's discount = True discount + Banker's gain
= Rs. 600 + Rs. 90
= Rs. 690
T.D. = (B.G x 100) / (R x T)
= (1 x 100) / (5 x 1)
= ? 20
T.D. = ?(P.W.) X {(B.G.)
= ?(576 x 1) = Rs. 24
Given that, BD = ? 196 and BG = ? 28
? TD = BD - BG = 196 - 28 = ? 168
According to the formula,
A = (BD x TD)/BG = (196 x 168)/28
= 196 X 6
= ? 1176
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
Present worth of bill = ? (7440 - 240) = ? 7200
? Banker's Gain (BG) = (TD)2/PW
= (240 x 240) / 7200
= 576/72
= ? 8
P.W. = [8 x 100 x 100] / [10 x 10]
= Rs. 800
Given in the question,
Face Value = 2520;
Time = 6 months = 1/2 year
Rate of interest = 10 %
As we know the formula,
True Discount = Face Value x ( Rate of Interest x Time in years ) / ( 100 + Rate of interest x Time )
? True Discount = 2520 x (10 x 1/2 ) / (100 + (10 x 1/2 ))
? True Discount = 2520 x ( 5 ) / (100 + ( 5 ))
? True Discount = 2520 x 5 /105
? True Discount = 2520 / 21
? True Discount = Rs. 120
Given in the question,
Banker's Discount = 420
Time in years = 4 months = 4/12 years = 1/3 years
Rate of interest = 15 %
As we know the formula,
True Discount = Banker's Discount × 100 (100 + Time in years x Rate of interest )
True Discount = 420 × 100 (100 + 4/12 × 15) ( 12 Months = 1 Year)
= 420 × 100 (100 + 5) = 400
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