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:
10%
13%
12%
15%
Answer: Option
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

Discussion:
22 comments Page 1 of 3.

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.
(4)

Tarun said:   3 months ago
1*1/2 = 18months.
2 = 24months,
18m = 558rs,
24m = ?
1m = 31rs.
24m = 744rs.
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%

Mohan said:   1 decade ago
@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.

Krishna said:   1 decade ago
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%
(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.
(1)

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?

Nandini said:   1 decade ago
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?

Mausami said:   1 decade ago
The above given formula applied for amount finding but there been used to find out principle.

How anyone?

Rohit said:   3 years ago
FOR TWO YEARS THE BD IS:

588 * (2/3) * 2 = 784. (not 744).

The final answer comes out to be 16.6667.

Magesh said:   8 years ago
I can't understand the solution can anyone help me to understand in simple way?


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