Question

find the amount and the compound interest on rupees 2000 at 10% per annum for 2 and half years compounded annually

Answer 1

hope it help you. . .

Answer 2

$\red{\bf{\underline{\underline{Answer}}}}$

$\tt{Amount=Rs.2538}$

$\tt{Compound\:Interest=Rs. 538}$

$\green{\bf{Given:}}$

P = Rs 2000

R = 10%

T = 2 $\frac{1}{2}$

years = $\frac{5}{2}$

years

$\pink{\bf{To\:Find:}}$

$\tt{Amount=?}$

$\tt{Compound\: Interest=?}$

According To Given Question

$\begin{lgathered}A = P ( 1 + \frac{R}{100}) ^{T} \\ \\ = 2000\:(1 + \frac{10}{100} )^{ \frac{5}{2} } \\ \\ = 2000\:( \frac{11}{10} )^{ \frac{5}{2} } \\ \\ = 2538.1 \\ \\ ≃2538 \\ \\ C.I = A - P \\ \\ = 2538 - 200 \\ \\ = 538\end{lgathered}$

$\tt{\purple{\text{Hence, Amount = Rs. 2538}}}$

$\tt{\purple{\text{Compound Interest = Rs. 538}}}$