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
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The B.D. and T.D. on a certain sum is Rs.200 and Rs.100 respectively. Find out the sum.
F=BD×TDBD-TD=200×100200-100=200×100100=Rs.200
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
TD= BG×100TR=200×1004×5=Rs.1000
TD=PW×BG
⇒1000=PW×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,
PW1+51002=1764
=> 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
=(360/1800)* 2160
= (1/5) * 2160
=Rs. 432
The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:
BG=TD2PW=(340)23400=Rs.34
Insert the missing number.
3, 7, 6, 5, 9, 3, 12, 1, 15, (....)
There are two series, beginning respectively with 3 and 7. In one 3 is added and in another 2 is subtracted.
The next number is 1 - 2 = -1.
2, 6, 12, 20, 30, 42, 56, (....)
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.
So, the next number is 8 x 9 = 72.
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