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:
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:
22 comments Page 2 of 3.
NBD said:
9 years ago
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?
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:
8 years ago
I can't understand the solution can anyone help me to understand in simple way?
Megha Mahale said:
7 years ago
What is the Formula for the rate?
(1)
Kamal said:
7 years ago
What is true dicount?
Ritu said:
7 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.
(4)
Divya said:
7 years ago
How come X=558*2?
Please explain me.
Please explain me.
Kathir said:
7 years ago
For 2 years X = 558 * 2.
Likitha said:
5 years ago
How bankers discount for 2 yrs= 558*2/ (3/2) came?
(1)
Ankur Singh said:
5 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)
Bhanu said:
5 years ago
Thanks @Ritu.
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