What is the difference between the banker's discount and the true discount on Rs.8100 for 3 months at 5%
F = Rs. 8100 R = 5%
T = 3 months = 1/4 years
Therefore BD - TD = 101.25-100 = Rs.1.25
Two consecutive discounts x% and y% is equivalent to the discount
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?
BD = Rs.100 TD = Rs.80 R = 10%
BD = Simple interest on the face value of the bill for unexpired time= FTR/100
=> T = 2.5 years
If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?
F = Rs. 498 TD = Rs. 18 PW = F - TD = 498 - 18 = Rs. 480 R = 5%
=> T = 3/4 years = 9 months
The banker's discount on a bill due 6 months hence at 6% is Rs. 18.54. What is the true discount?
T= 6 months = 1/2 yearR = 6%TD= BD×100100+TR=18.54×100100+12×6=Rs.18
The B.D. and T.D. on a certain sum is Rs.200 and Rs.100 respectively. Find out the sum.
The B.G. on a certain sum 4 years hence at 5% is Rs. 200. What is the present worth?
T = 4 years R = 5% Banker's Gain, BG = Rs.200
=>PW = Rs.5000
What is the present worth of a bill of Rs.1764 due 2 years hence at 5% compound interest is
Since the compound interest is taken here,
=> PW = 1600
The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount?
F = Rs. 2160 TD = Rs. 360 PW = F - TD = 2160 - 360 = Rs. 1800 True Discount is the Simple Interest on the present value for unexpired time =>Simple Interest on Rs. 1800 for unexpired time = Rs. 360 Banker's Discount is the Simple Interest on the face value of the bill for unexpired time = Simple Interest on Rs. 2160 for unexpired time
= (1/5) * 2160
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