Quant · Arithmetic

Simple and Compound Interest

3 sub-topics · 24 lessons · 64 questions · 10 PYQs

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Simple Interest9 lessons · 24 questions · 3 PYQs

Compound Interest11 lessons · 30 questions · 6 PYQs

Growth and Depreciation4 lessons · 10 questions · 1 PYQs

Formula sheet

Value after depreciation
$V_n=V_0\left(1-\frac{r}{100}\right)^n$
Population with birth and death rates
$P_n=P_0\left(1+\frac{b-d}{100}\right)^n$
Rate equal to time
$R=T\Rightarrow\text{SI}=\frac{PR^2}{100}$
Effect of a change in rate
$\Delta\text{SI}=\frac{P\times\Delta R\times T}{100}$
Compound amount and interest
$A=P\left(1+\frac{r}{100}\right)^n,\quad\text{CI}=A-P$
Simple interest and amount
$\text{SI}=\frac{P\times R\times T}{100},\quad A=P+\text{SI}$
CI to SI ratio for two years
$\frac{\text{CI}}{\text{SI}}\ (2\text{ yrs})=1+\frac{r}{200}$
Changes that differ year by year
$P_n=P_0\left(1+\frac{r_1}{100}\right)\left(1+\frac{r_2}{100}\right)\cdots\quad(r_i<0\text{ for a fall})$