Compound Interest - Aptitude Concepts (Important Facts And Formulae)
IMPORTANT FACTS AND FORMULAE
Compound Interest: Sometimes it so happens that the borrower and the lender agree to fix up a certain unit of time, let say it yearly or half-yearly or may be quarterly to settle the previous account.
In such cases, amount after the first unit of time becomes the principal for second unit, amount after second unit becomes the principal for the third unit and so on.
After a specified period of time, the difference between the amount and the money borrowed is called the Compound Interest (abbreviated as C.I.) for that particular period.
Let Principal = P, Rate = R% per annum, Time = n years.
I. When interest is compound Annually:
Amount = P(1+R/100)^n
II. When interest is compounded Half-yearly:
Amount = P[1+(R/2)/100]^2n
III. When interest is compounded Quarterly:
Amount = P[ 1+(R/4)/100]^4n
IV. When interest is compounded AnnuaI1y but time is in fraction, say 3(2/5) years.
Amount = P(1+R/100)^3 x (1+(2R/5)/100)
V. When Rates are different for different years, say Rl%, R2%, R3% for 1st, 2nd and 3rd year respectively.
Then,
Amount = P(1+R1/100)(1+R2/100)(1+R3/100)
VI. Present worth of Rs.x due n years hence is given by :
Present Worth = x/(1+(R/100))^n
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