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
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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.
16, 33, 65, 131, 261, (....)
Each number is twice the preceding one with 1 added or subtracted alternatively.
So, the next number is (2 x 261 + 1) = 523.
Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5
The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
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