Question

Rahul deposited rs.15000 in a bank for 2 and a half years. Find the amount he will receive if it is compounded annually at a rate of 8% per annum

Answer 1

Given :

• Principle = rs. 15000

• time = 2.5years or 2 and a half years

• Rate of interest = 8%

$\large \red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

$\orange{ \boxed{ \boxed{ \purple{ \rm \: amount = \frac{p (1 + r) {}^{t} }{100} }}}}$

$\implies \rm {15000 (1 + \dfrac{r}{100}) {}^{2.5} }$

$\implies \: 1500(1 + \dfrac{2}{25} ) {}^{2.5}$

$\implies \: \red{1500 ( \dfrac{25 + 2}{25} ) {}^{2.5} }$

$\implies \: 1500( \dfrac{27}{25} ) {}^{2.5}$

$\implies \: \pink{15000 \times \dfrac{27}{25} \times \dfrac{27}{25} \times \sqrt{ \dfrac{27}{25} } }$

$\implies \: 24 \times 27 \times 27 \times \dfrac{3 \sqrt{3} }{5}$

$\therefore \: \blue{ \boxed{ \boxed{ \green{ \rm amount = rs. \: 18182.38}}}}$

Answer 2

Answer:

compound interest = P(1+rate/100)^2

15000(1+8/100)^2

15000*108/100*108/100=15*108*54

CI for two years

for half year

15*108*54*8*1/2*100(simple interest)

87,480*8/200=

3,499.2

CI+simple I=87480+3499=

90,979