Aptitude - Banker's Discount - Discussion

Discussion Forum : Banker's Discount - General Questions (Q.No. 3)
3.
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Rs. 480
Rs. 520
Rs. 600
Rs. 960
Answer: Option
Explanation:

T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120.
Rate x Time 10 x 2

P.W. = 100 x T.D. = Rs. 100 x 120 = Rs. 600.
Rate x Time 10 x 2

Discussion:
27 comments Page 1 of 3.

Dileep Mathew John said:   1 decade ago
@Sayan.

We have studied the formula for Simple interest na.

S.I= (P.R.T) /100 where P=principal, R=Rate, T=Time.

100 is there because rate is specified as a percentage. Just cross multiply the equation P=[(S.I) *100/ (R. T) ] Here P, principal is nothing but the present worth & true Discount is similar to S. I in this case and hence the equation.

Sukhsand Singh said:   10 years ago
Is the answer correct?

I mean B.G = B.D - T.D.

Now, B.D = (PxRxT)/100.

T.D = (PxRxT)/(100+ RxT).

Now, R=10; T=2; B.G = 24.

Solving this we get P = 720.

Am I doing anything wrong? Appreciate the help.

Bhaskar Reddy said:   5 years ago
BD-TD=24, So
Take BD in terms of TD I,.e BD=TD(100+rt)/100.
Substitute in above and take TD as common& solve TD,
You will get True discount 120,
Take TD=PW*rt/100 basic formulae,
We get PW as 600.
(1)

Jai prakash said:   1 decade ago
Simple method as for I know.

T.D. =(B.G. x 100)/(R/T)= (24*100)/(10*2)=Rs.120.

B.G=(T.D)^2/P.W => P.W= (T.D)^2/B.G.

P.W= (120)^2/ 24 = 14400/24=600.

If anyone knows better explanation?

BHAVADIP said:   8 years ago
True Discount and bankers discount in which lots of the discount.

BD is Actually Simple Intrest And banker TD is After the discount.

Habibur Rahman said:   7 years ago
I really don't understand why has come TD here?

I think p=SI/nr where p is the principle and it should be asked answer and it's 120.
(2)

Vishal nigade said:   1 decade ago
100 is there because rate is specified as a percentage. Just cross multiply the equation P=[(S.I) *100/ (R. T) ]

Imzzys said:   1 decade ago
Someone please show the derivation.

B.G. = (T.D.)*(T.D.)/P.W. or

T.D. = B.G.*100 /(Rate*Time).

Sakthivel MRSD said:   10 years ago
T.D = B.G*100/R*T.

= 24*100/10*2.

T.D = 120.

P.W = 100*T.D/R*T.

= 12000/20.

P.W = 600.

Divya said:   9 years ago
What is B.G?

Is this difference between true discount and bankers discount?


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