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 4 of 15.

Yeshwanth said:   9 years ago
@Gagan

SI = P * (n * r)/100.
CI = P((1 + r/100)^n - 1).

Now simplify both equations such that P comes to the left and rest to the right equate both to get r.

Rajat said:   9 years ago
Can anybody tell me the formula for finding rate and principle when compound interest and simple interest are given with time 2 years and SI = 800 and CI = 850?

Sree said:   6 years ago
Here the formula:

P=D^2*100^2÷r^2:

This formula applicable for only the difference between 2 yrs.

Where;
D=1.
R=4%.
1^2*100^2÷4^2,
= 1*10000÷16,
= 625.

VAMSI said:   5 months ago
@All.

There is a direct formula to solve the difference between CI and SI is;
Difference = Principal * Rate^2 /100^2,
1 = P*16/10000,
10000/16 = P,
P = 625.
(9)

Prabhjot Singh said:   1 decade ago
Just equate:

CI-SI = P(R/100)(R/100) for 2 years.

CI-SI = P(R/100)(R/100)(300+R/100) for 3 years.

By these formula's it is easier to calculate the result.

Yogesh patil said:   6 years ago
One of the simplest way to solve difference between si and ci by using simple formula
Diff=PR^2/100^2.
Diff=1*4^2/100*100.
Diff=1/625.
Ans=625.
(1)

Yogesh patil said:   6 years ago
One of the simplest way to solve difference between si and ci by using simple formula
Diff=PR^2/100^2.
Diff=1*4^2/100*100.
Diff=1/625.
Ans=625.

Yogesh patil said:   6 years ago
One of the simplest way to solve difference between si and ci by using simple formula
Diff=PR^2/100^2.
Diff=1*4^2/100*100.
Diff=1/625.
Ans=625.

Ashok said:   7 years ago
Here is a formula for diff B/w C.I & S.I.

Diff between means C.I - S.I = P(r/100)^2.
1 = P(4/100)^2.
1 = P(1/25)^2,
1 =P(1/625),
P = 625.

GAGAN said:   9 years ago
If the compound interest is 104 and simple interest is 100 for the time of 2 years find the rate of interest.

Can anyone solve this problem.


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