Question

Find the amount when Rs. 30000, is compounded half-yearly at the rate of 20% per annum for 3 years.

Answer 1

Step-by-step explanation:

given that :

principal = 30000Rs

rate = 20%

half yearly =20/2=10

time =3years

then according to questions:-

$a = p {(1 + \frac{r}{100} )}^{t} \\ \\ = 30000 {(1 + \frac{10}{100} )}^{3} \\ \\ = 30000(1 + \frac{1}{10} ) {}^{3} \\ \\ = 30000 { (\frac{10 + 1}{10} )}^{3} \\ \\ = 30000 {( \frac{11}{10}) }^{3} \\ \\ = 30000 \times \frac{11}{10} \times \frac{11}{10} \times \frac{11}{10} \\ \\ = 30 \times 11 \times 11 \times 11 \\ \\ = 39930 \\ \\ therefore \: the \: amount \: is \: 39930$