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

Answer: Option C

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.

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