Question

Calculate the amount and compound interest where principal is rs 8000 rate of interest is 10% half yearly and time is 3/2 years

Answer 1

Step-by-step explanation:

A=P(1+r/200)2n

A=9261

CI=A-P

=9261-8000

CI=rs1261

Answer 2

The amount is Rs.9261.

The compound interest is Rs.1261.

Step-by-step explanation:

Given : Principal is Rs.8000 rate of interest is 10% half yearly and time is 3/2 years.

To find : Calculate the amount and compound interest ?

Solution :

The compound interest formula is

$CI=A-P$

Where, A is the amount

$A=P(1+\frac{r}{n})^{nt}$

Here, P=Rs.8000 is the principal

r = 10%=0.1 is the interest rate

$t=\frac{3}{2}$ is the time in years.

n is the compounded year n=2

Substitute the values,

$A=8000(1+\frac{0.1}{2})^{2\times \frac{3}{2}}$

$A=8000(1.05)^{3}$

$A=8000\times 1.157625\\A=9261$

The amount is Rs.9261.

The compound interest is

$CI=9261-8000$

$CI=1261$

The compound interest is Rs.1261.

#Learn more

Interest is compounded half-yearly, calculate the amount and the  compound interest when the principal is 3750, the rate of interest is 8% and  the duration is one year.

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