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
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
P.W. = [8 x 100 x 100] / [10 x 10]
= Rs. 800
P.W. = Rs. 1860 - Rs. 60 = Rs. 1800
? B.G. = (T.D.)2/P.W. = (60 x 60)/1800 = Rs. 2
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