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.

Pritee said:   1 decade ago
What is T. D. ?

Jhansi said:   1 decade ago
T.D means True Discount

Sayan said:   1 decade ago
Can somebody please explain: -

Present Worth=100*T.D/RT???

Ravi saini said:   1 decade ago
What is B. G ?

NITHYA said:   1 decade ago
B.G means BANKERS GAIN

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.

Rooney said:   1 decade ago
What is True discount ? Is it principal ???

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) ]

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?

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).


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