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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:

Options:
A .  625
B .  630
C .  640
D .  650
Answer: Option A

Let the sum be Rs. x. Then,



C.I. =
The Difference Between Simple And Compound Interests Compoun...
x
The Difference Between Simple And Compound Interests Compoun...
1 +
4
The Difference Between Simple And Compound Interests Compoun...
2
- x
The Difference Between Simple And Compound Interests Compoun...
=
The Difference Between Simple And Compound Interests Compoun...
676
x
- x
The Difference Between Simple And Compound Interests Compoun...
=
51
x.
100
625
625



S.I. =
The Difference Between Simple And Compound Interests Compoun...
x x 4 x 2
The Difference Between Simple And Compound Interests Compoun...
=
2x
.
100
25



The Difference Between Simple And Compound Interests Compoun...
51x
-
2x
= 1
625
25


The Difference Between Simple And Compound Interests Compoun... x = 625.



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