Aptitude  Banker's Discount  Discussion
Discussion Forum : 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:
Answer: Option
Explanation:
B.D. for years  = Rs. 558.  
B.D. for 2 years 


= 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 
Discussion:
21 comments Page 1 of 3.
Rohit said:
1 year ago
FOR TWO YEARS THE BD IS:
588 * (2/3) * 2 = 784. (not 744).
The final answer comes out to be 16.6667.
588 * (2/3) * 2 = 784. (not 744).
The final answer comes out to be 16.6667.
Bhanu said:
3 years ago
Thanks @Ritu.
Ankur Singh said:
4 years ago
let the present worth be x then BD for 18 months will be;
x(1+3R/100)*3R/100= 558>(i)
TD for 2 years.
xR*2/100 = 600> (ii)
Dividing (i)/(ii).
Will get R = 16.
x(1+3R/100)*3R/100= 558>(i)
TD for 2 years.
xR*2/100 = 600> (ii)
Dividing (i)/(ii).
Will get R = 16.
(1)
Likitha said:
4 years ago
How bankers discount for 2 yrs= 558*2/ (3/2) came?
(1)
Kathir said:
5 years ago
For 2 years X = 558 * 2.
Divya said:
5 years ago
How come X=558*2?
Please explain me.
Please explain me.
Ritu said:
5 years ago
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.
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.
(1)
Kamal said:
5 years ago
What is true dicount?
Megha Mahale said:
5 years ago
What is the Formula for the rate?
Magesh said:
6 years ago
I can't understand the solution can anyone help me to understand in simple way?
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