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Aptitude - Banker's Discount - Discussion

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"We cannot solve our problems with the same thinking we used when we created them."
- Albert Einstein
1.

The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

 [A]. Rs. 400 [B]. Rs. 360 [C]. Rs. 480 [D]. Rs. 320

Explanation:

T.D.
 = B.D. x 100 100 + (R x T)
= Rs. 420 x 100
 100 + 15 x 1 3
 = Rs. 420 x 100 105
= Rs. 400.

 Ramkumar said: (Tue, Aug 17, 2010 10:53:11 AM) How T = 1/3?

 Mayuri said: (Fri, Aug 20, 2010 03:36:13 AM) How to find in shortcut way?

 Raja Shekar said: (Fri, Sep 3, 2010 05:08:52 AM) What is the T stands for?

 Sundar said: (Fri, Sep 3, 2010 07:24:46 AM) Hi All, Here T stands for Time or Number of Years. Why T = 1/3? Because we can write 4 months as 1/3 years. (Ref: 4/12 = 1/3) Hope you understand. Have a nice day guys!

 Vinoth said: (Wed, Nov 10, 2010 07:03:36 AM) How we can take 15% is rate?

 Saleem said: (Sat, Jan 29, 2011 09:16:48 AM) short cut: p*r*t 420*15%*4/12 = 20 420-20 = 400

 Jyothi said: (Wed, Feb 9, 2011 06:42:11 AM) How comes this formula T.D. = B.D. x 100 / 100+(R*T) Atually T.D = Amout*rate*time / 100+(R*T)

 Yuri said: (Sat, Feb 19, 2011 01:05:52 PM) Same question as Jyotiii.

 Achyuth said: (Sat, May 7, 2011 07:08:51 AM) Why we use 1/3 for percentage?

 Bhargav said: (Mon, May 23, 2011 08:56:58 AM) What does T.D. & P.W. stands for ???

 Sundar said: (Mon, May 23, 2011 09:36:10 AM) TD - True Discount PW - Present Worth

 Mannoj Kumar said: (Sat, Jun 11, 2011 11:59:55 AM) How comes this formula T.D. = B.D. x 100 / 100+(R*T) Atually T.D = Amout*rate*time / 100+(R*T) -------------------------------------------------------------------------------- B.D = amount*rate*time/100 T.D = (amount*rate*time/100)*100/100+(rate*time) = amount*rate*time/100+(rate*time)

 Siva said: (Tue, Jul 12, 2011 02:10:47 AM) Why we put 100?

 Jessi said: (Tue, Jul 19, 2011 06:25:27 PM) What is the need to sub 20. Saleem said in short cut.

 K Shravanreddy said: (Tue, Aug 2, 2011 10:01:14 PM) Actually what is the difference between T. D, S. I and B. D.

 Siraj said: (Wed, Aug 3, 2011 03:29:17 PM) How it comes 420*15%*4/12 =20 as saleem said actually answer is 21

 Amit said: (Fri, Nov 11, 2011 10:40:36 AM) Can anyone tell me a clear definition of true discount and bankers discount. I have a lot of confusion with the theory. Please. I have to appear in a test before 19th nov.

 Muhammad Asif said: (Sun, Feb 5, 2012 09:59:59 AM) Easy solution 15% rate is for one year so we have to cslculate for 1/3 so its become 5% of 15% 420*100/105=400

 Jai Gupta said: (Wed, May 23, 2012 01:44:13 PM) How to come B.D.=(A*R*T)/100; T.D.=(A*R*T)/[100+(R*T)]; THEN T.D.=[(A*R*T)*(100/100)]/[100+(R*T)]; T.D.=[((A*R*T)/(100))*100]/[100+(R*T)]; T.D.=BD.*100/[100+(R+T)]

 Divya said: (Sat, Sep 8, 2012 11:31:55 AM) How T=1/3 ?

 Anam Charan Patra said: (Fri, Feb 22, 2013 07:58:08 PM) How to found short way to solve this problem?