Maths - Formulas - Compond Interest

Formulas

CI – Compound interest

A – amount

I) CI = A – P or p(1-(1+(R/100))T)

II) A = p(1+(R/100))T

III) If the interest is payable half yearly , then time is multiplied by 2 and the rate is halved .

                            i.e. A = p(1+((R/2)/100) 2T

IV) If the interest is payable Quarterly , then time is multiplied by 4 and the rate is divided by 4.

                            i.e. A = p(1+((R/2)/100)) 4T

V) When interest is compounded annually but time is in fraction, says 5years

                          then A = p(1+(R/100))5 (1+((R*2/3)/100))   

VI) If the difference between SI and CI on a certain sum of money for 2 years at R% per is D. then the sum(principal) is

                           P = (D*1002)/R2

VII) If the difference between SI and CI on a certain sum of money for 3 years at R% per is D. then the sum(principal) is

                          P = (D*1003)/(R2(R+300))

 VII) If a sum A becomes B in T1 years at compound rate of interest, then after T2 years the sum becomes

                       (B)(T2/T1)/(A)(T2/T1 -1)