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Discussion :: Compound Interest

  1. 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:

  2. A.

    625

    B.

    630

    C.

    640

    D.

    650

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    Answer : Option A

    Explanation :

    Let the sum be Rs. x. Then,

     

    C.I. =\([ X (1+(\frac { 4 } { 100 } ) ^2 -X]\)=\(( \frac { 676 } { 625 } X\)-X)=\( \frac { 51 } { 625} X\)

     

    S.I. =\([\frac { XX4X2 } { 100 } ]\)=\( \frac { 2X } { 25 } \)

     

    \( \frac { 51 } { 625} X\)-\( \frac { 2X } { 25 } \)=1

     

     x = 625.


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