- Let Principal = P, Rate = R% per annum, Time =
*n*years. - When interest is compound Annually:
Amount = P 1 + R *n*100 - When interest is compounded Half-yearly:
Amount = P 1 + (R/2) *2n*100 - When interest is compounded Quarterly:
Amount = P 1 + (R/4) *4n*100 - When interest is compounded Annually but time is in fraction, say 3 years.
Amount = P 1 + R 3 x 1 + R 100 100 - When Rates are different for different years, say R
_{1}%, R_{2}%, R_{3}% for 1^{st}, 2^{nd}and 3^{rd}year respectively.Then, Amount = P 1 + R _{1}1 + R _{2}1 + R _{3}. 100 100 100 - Present worth of Rs.
*x*due*n*years hence is given by:Present Worth = *x*. 1 + R 100

# Compound Interest Formulas

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