Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 2)
2.
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:
625
630
640
650
Answer: Option
Explanation:

Let the sum be Rs. x. Then,

C.I. = x 1 + 4 2 - x = 676 x - x = 51 x.
100 625 625

S.I. = x x 4 x 2 = 2x .
100 25

51x - 2x = 1
625 25

x = 625.

Discussion:
149 comments Page 6 of 15.

Baadshah said:   8 years ago
Shortcut method:

When the difference between SI and CI is x and rate of interest is R then,
x(100/R)^n where n is the number of years,
So 1(100/4)^2 = (25)^2 = 625.

Md.iftekhar said:   8 years ago
Hi, friends we can easily solve this problem with the help of this formula.

Formula :- Sum= Difference(100/r)^2.
Now put the value----- Sum= 1(100/4) ^2
= 1* 625/1
= 625 Ans.

Bunny_xavi said:   8 years ago
(R/100)^2= D/P
D=difference bw si and ci.
100^2/4*4 = 1/P.
P= 10000/16 =>625.

Revathi said:   8 years ago
CI-si=p(r/100)^2 this formula applicable for more than 2 yrs also.

Am I correct?

Sneha said:   8 years ago
Difference formula for 2 years____.
Sum = Difference * (100) ^/Rate^
Then, Sum = 1*100*100 / 4*4 =625.

ELISHA said:   8 years ago
Guys you have to take the square of the given percentage.

4%..................... (4%)^2 = 8.16.

=>8.16x-8x=0.16%x,
=>0.16%x=1

by solving
You will get x=625.

Ravi said:   8 years ago
x (100/r)^2 = 1(100/4)^2.

Prince said:   8 years ago
Easy question try pr^2/100^2 = difference when the time is given 2.

Pr^2 (300+r)/100^3 when the time is given 3yr.

Ritu said:   8 years ago
Please, someone explains the question. At what % per annum will 625 will amount to 676 in 2 yr at c.i.

Hitesh said:   8 years ago
Why are we subtracting -x in the first part?


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