Question

find the amount oand compound intrest on 12800 for 1 st year at 7.5percent per annum compounded half yearly? please answer it fast.

Answer 1

Answer :-

As we know that

In compound interest

Amount = $p(1+ \frac{r}{100})^t$

Also

CI = Amount - principal

Now Given that

Principal Amount (p) = 12800

Rate = 7.5 % per annum or $\frac{7.5}{2}$ per half annum

Time = 1 year or two half years

Now

Amount = $12800(1+ \frac{\frac{7.5}{2}}{100})^2$

= $12800(1+ \frac{7.5}{200})^2$

= $12800( \frac{200 + 7.5}{200})^2$

= $12800(\frac{207.5}{200})^2$

$= 12800 \times \frac{207.5}{200} \times \frac{207.5}{200} \\ \\ = 32 \times \frac{207.5}{100} \times 207.5 \\ \\ = 13778$

Now

CI = 13778 - p

CI = 13778 - 12800

CI = 978

Hope it helps