As per given question,
Present worth PW = 5760
Banker gain = 10
True Discount = ?
As we know the formula,
True Discount = ?PW × BG
True Discount = ?Present Worth × Banker's gain
True Discount = ?5760 × 10 = ?57600 = Rs. 240
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
P.W. = Rs. 1860 - Rs. 60 = Rs. 1800
? B.G. = (T.D.)2/P.W. = (60 x 60)/1800 = Rs. 2
37.08 = T.D. [1 + 3/100]
? T.D. = 3708 / 103 = Rs. 36
Let T.D. be Re. 1. Then, B.D. = Rs. (11/10) = Rs. 1.10
? Sum = Rs. 1.10 x 1/(1.10 - 1)
= Rs. 1.10 / 0.10 = Rs.11
So, S.I. on Rs. 11 for 2 years is Rs. 1.10
? Rate = (100 x 1.10) / (11 x 2)% = 5%
B.G. = (T.D.)2 / P.W. = Rs. (36 x 36) / 800 = Rs. 1.62
? B.D. = (T.D.) + (B.G.) = Rs. (36 + 1.62)
= Rs. (37.62)
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