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Compound Interest basic concept and formula

06:19 PM, 16-Dec-2017

  1. Amount = Principal + Interest
  2. Interest = Amount - Principal

  3. Let Principal = P, Rate = R% per annum, Time = n years.

  4. When interest is compound Annually:

     

       Amount = P 1 + R n
    100

     

  5. When interest is compounded Half-yearly:

     

        Amount = P 1 + (R/2) 2n
    100

     

  6. When interest is compounded Quarterly:

     

        Amount = P 1 + (R/4) 4n
    100

     

  7. When interest is compounded Annually but time is in fraction, say 3 years.

     

        Amount = P 1 + R 3 x 1 + R
    100 100

     

  8. When Rates are different for different years, say R1%, R2%, R3% for 1st, 2nd and 3rd year respectively.

     

        Then, Amount = P 1 + R1 1 + R2 1 + R3 .
    100 100 100

     

  9. Present worth of Rs. x due n years hence is given by:

     

        Present Worth = x .
    1 + R
    100

     

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