Arithmetic Aptitude :: Compound Interest
1. Let Principal = P, Rate = R% per annum, Time = n years.
2 . When interest is compound Annually:
Amount = P \( [ 1 + \frac {R } { 100}]^n\)
3. When interest is compounded Half-yearly:
Amount = P \( [ 1 + \frac {(R/2) } { 100}]^2n\)
4 .When interest is compounded Quarterly:
Amount = P \( [ 1 + \frac {(R/4) } { 100}]^4n\)
5. When interest is compounded Annually but time is in fraction, say 3 \( \frac { 2 } { 5 } \) years.
Amount = P \( [ 1 + \frac {R } { 100}]^3\) X \( [ 1 + \frac { 2/5 R} { 100}]\)
6. When Rates are different for different years, say R1%, R2%, R3% for 1st, 2nd and 3rd year respectively
Then, Amount = P \( [ 1 + \frac {R1 } { 100}]\)\( [ 1 + \frac {R2 } { 100}]\)\( [ 1 + \frac {R3 } { 100}]\)
7. Present worth of Rs. x due n years hence is given by:
Present Worth =\( \frac {X } { [1 + R/100] } ) ^n \)