# Aptitude - Banker's Discount - Discussion

### Discussion :: Banker's Discount - General Questions (Q.No.5)

5.

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

 [A]. Rs. 960 [B]. Rs. 840 [C]. Rs. 1020 [D]. Rs. 760

Explanation:

 T.D. = B.G. x 100 = Rs. 270 x 100 = Rs. 750. R x T 12 x 3 B.D. = Rs.(750 + 270) = Rs. 1020.

 Kaur said: (Oct 26, 2010) BD????

 Vipin said: (Dec 8, 2010) What is BG and BD?

 Bibz said: (Dec 12, 2010) Bankers Discount and Bankers Gain.

 Pinku said: (Mar 1, 2011) What is R and T?

 Eliza said: (Apr 6, 2011) Rate and time.

 Banu said: (Nov 10, 2011) HOW 100?

 Rumpi said: (Feb 29, 2012) Why 270 added with T.D. ?

 Kalpit said: (Sep 16, 2012) It is same to I=(PRN)/100

 Shiyamala Maths said: (Sep 30, 2012) Given:. They are given in a Qn gain of sum (sum means add). So we add the value 270.

 Raj said: (Oct 5, 2012) What means by TD ?

 Ashok said: (May 11, 2013) TD means total discount. BG is banker gain. R is rate and T is time.

 Sukumar Satyen said: (Apr 29, 2015) We know that, Banker's Gain (BG) = Banker's Discount (BD) - True Discount (TD). => 270 = (F*T*R/100) - (PW*T*R/100). => 270*100/(T*R) = F - PW. => 270*100/36 = F - PW. => F - PW = 750. => F - [F/{1+(R*T/100)}] = 750. => F - [F/{(100+36)/100}] = 750. => F - [100F/136] = 750. => 136 F - 100 F = 750*136. => 36 F = 750*136. => F = 750*136/36.........equation (1). From equation (1), Banker's Discount (BD) = F*T*R/100. => BD = 750*136*12*3/(100*36). => BD = 15*68 = RS. 1020. Thanks.

 Jebran said: (Oct 3, 2015) 270*100/12*3 = 6750 when added to 6750+270 = 7050. This is the error in question.

 Sakthivel Mrsd said: (Nov 17, 2015) TD = B. G*100/R*T. TD = 27000/12*3. TD = 750. BG = BD-TD. BD = BG+TD. BD = 270+750. BD = 1020.

 Vaibhav said: (Jun 5, 2016) Can anyone give me the easy calculation to find the solution?

 Sufian Liaqat said: (Mar 4, 2017) 750 is a amount on which 12 % rate was calculated. 270 in 3 years. So Bankers gain is 270/3 = 90 for each year. 90 = 12% of Amount. So 90=12/100 of Amount. 90/12 =Amount. Amount = 750. But this was the amount Banker had a profit of 90 each year. Not 270? So, 750 + 90 = 840 for each year. Correct me.

 Rpm said: (Aug 28, 2017) What is the bankers gain formula?

 Chico said: (Apr 25, 2019) I = (PNR/100). 270 = (P*3*12)/100. = 1020.

 Dinesh. R said: (Dec 23, 2021) @All. How it will come 750? Explain, please.