Math, asked by anujbagla, 1 year ago

All the formulla of simple and compound interest

Answers

Answered by DynamicOfficial
6

Hey Mate,

Simple Interest = \frac{(\:Principal\:)\:(\:Rate\:of\:Interest\:)\:(\:Time\:)}{100}

Compound Interest = P (1 + r/n)^{nt} - P

P = the principal investment amount (the initial deposit or loan amount)


r = the annual interest rate (decimal)


n = the number of times that interest is compounded per year


t = the number of years the money is invested or borrowed for



Hope it Helps!




DynamicOfficial: Please mark as brainliest if it helped.
Answered by BrainlyPromoter
6
Abbreviations used throughout this answer:
Principal = P
Rate Of Interest = R
Time = T
Simple Interest = SI
Compound Interest = CI
Amount = A

Now for simple interest:

SI = ( P * R * T ) / 100
A = SI + P
A = { ( P * R * T ) / 100 } + P
P = ( SI * 100 ) / ( R * T )
R = ( SI * 100 ) / ( P * T )
T = ( SI * 100 ) / ( R * P )

Now for compound interest:

CI = P * { 1 + ( R / 100 ) } ^ T, when interest is compounded annually
CI = P * { 1 + ( R / 200 ) } ^ 2T, when interest is compounded half - yearly
CI = P * { 1 + ( R / 400 ) } ^ 4T, when interest is compounded quarterly
A = CI + P
A = [ P * { 1 + ( R / 100 ) } ^ T ] + P
CI = P * { 1 + ( R1 / 100 ) } { 1 + ( R2 / 100 ) } { 1 + ( R3 / 100 ) } and so on, when interest differs for every year

• These were few standard formulae used most frequently in the questions and numericals of the chapter " Interest ".
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