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Aptitude - Banker's Discount - Discussion

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"To err is human; to forgive, divine."
- Alexander Pope
2. 

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

[A]. 3 months[B]. 4 months
[C]. 6 months[D]. 8 months

Answer: Option C

Explanation:

S.I. on Rs. 1600 = T.D. on Rs. 1680.

Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

Time = 100 x 80 year = 1 year = 4 months.
1600 x 15 3


Prateek said: (Fri, Oct 22, 2010 09:02:03 AM)    
 
P.W. stands for?

What is True Discount?

Sundar said: (Fri, Oct 22, 2010 09:09:10 AM)    
 
@Prateek

PW - Present Worth.

See: True Discount - Definition and Important Formulas

Krishna said: (Sun, Mar 20, 2011 03:58:19 AM)    
 
please explain clearly.
what is s.i., p.w...........
and the formlas

Amit said: (Wed, Mar 23, 2011 08:46:20 AM)    
 
@ krishna- si= simple interest

Prena said: (Sun, Nov 20, 2011 10:50:19 AM)    
 
Is there any other alternative or shortcut way to solve this question?

Ashish Garg said: (Fri, Dec 16, 2011 10:41:08 AM)    
 
B.D= 1600*15*T/100=240T
T.D=1680*15*T/100+15T
NOW,B.D=T.D
THUS T=1/3*12=4 MONTHS

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