Aptitude - Banker's Discount - Discussion

Discussion :: Banker's Discount - General Questions (Q.No.4)

4. 

The banker's discount on a sum of money for 1 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

[A]. 10%
[B]. 13%
[C]. 12%
[D]. 15%

Answer: Option C

Explanation:

B.D. for years = Rs. 558.
B.D. for 2 years
= Rs. 558 x 2 x 2
3
= Rs. 744

T.D. for 2 years = Rs. 600.

Sum = B.D. x T.D. = Rs. 744 x 600 = Rs. 3100.
B.D. - T.D 144

Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.

Rate = 100 x 744 % = 12%
3100 x 2


S.V.S Rama Chaitanya said: (Dec 3, 2010)  
how bankers discount for 2yr's has taken .it is given for true discount only

Krishna said: (Mar 20, 2011)  
Given banker's discount(b.d) for 3/2 yrs = 558
then banker's discount(b.d) for 2 yrs = x

x=(558*2)/(3/2)
x=744
we know

t.d=(b.d*100)/(100+(r*t))

600=(744*100)/(100+(r*2))

Therefore, r=12%

Raja said: (Aug 26, 2014)  
What is bankers discount?

How is it differed from true discount?

Mausami said: (Oct 24, 2014)  
The above given formula applied for amount finding but there been used to find out principle.

How anyone?

Dharani said: (Mar 14, 2015)  
@Krishna sir how x=(558*2)/3/2 comes?

Can you explain me.

Nandini said: (Mar 14, 2015)  
Help with this given total population 9000. If male increase by5% and female by 8% the population would be 9600. Find number of male and female?

Mohan said: (Aug 23, 2015)  
@Nandini.

Let x = No of males, y = No of female.
x+y = 9000.

As males increased by 5% no of males become 1.05*x, female becomes 1.08*y there for 1.

05x+1.08y = 9600 by solving the above two equations you will get the answer.

Yashwanth said: (Nov 24, 2015)  
What is the formula for B.D for 2 years?

Rizu said: (Apr 16, 2016)  
I got it, thanks @Krishna.

Wendale said: (Aug 18, 2016)  
@Yashwanth.

bd * 2/3/2.

Nbd said: (Mar 12, 2017)  
Why we can't calculate T.D for 3/2 years = Rs 450.
B.D=558, T.D=450.
So, Sum=B.DX T.D/(B.D-T.D),
If we calculate, it comes out R=16% per annum.

Please, tell me where is the mistake?

Magesh said: (Dec 22, 2017)  
I can't understand the solution can anyone help me to understand in simple way?

Megha Mahale said: (Jul 3, 2018)  
What is the Formula for the rate?

Kamal said: (Jul 14, 2018)  
What is true dicount?

Ritu said: (Sep 26, 2018)  
B.D = A*r*t1/100 ---> (1) and
T.D. = A*r*t2/(100+rt2) ---> (2).

Now as the amount or sum of money is same so from (1) A= B.D*100/(r*t1).
From (2) A= T.D*(100+r*t2)/(r*t2).
Put values and compare both as 'A' is same.
558*100/(r*3/2) = 600*(100+2r)/(2r).
55800*2/3 = 300(100+2r).

On solving
1860 = 1500 + 30r.
r = 360/30.
r = 12% answer.

Divya said: (Jan 2, 2019)  
How come X=558*2?

Please explain me.

Kathir said: (Feb 1, 2019)  
For 2 years X = 558 * 2.

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