Question

Calculate the amount and the compound interest on 64000rs for 3 years at 7 and a half percent per annum compounded annually

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Amount=79,507\:rupees}}}$

$\green{\tt{\therefore{C.I=15,507\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given :}} \\ \tt: {\implies Principal(p) = 64,000 \: rupees} \\ \\ \tt: \implies Time(t)= 3\: years \\ \\ \tt: \implies Rate\% = 7\frac{1}{2}\% \\ \\ \red{ \underline \bold{To \: Find:}} \\ \tt: \implies Amount(A) = ?\\\\ \tt:\implies Compound\:Interest=?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies A = p(1 + \frac{r}{100} )^{t} \\ \\ \tt: \implies A = 64000(1 + \frac{7.5}{100} )^{3} \\ \\ \tt: \implies A =64000( 1 + 0.075)^{3} \\ \\ \tt: \implies A = 64000(1.075)^{3} \\ \\ \tt: \implies A = 64000\times 1.242296875 \\ \\ \green{\tt: \implies A= 79,507\: rupees}$

$\bold{As \: we \: know \: that} \\ \tt: \implies C.I = A-p \\ \\ \tt:\implies C.I=79,507-64,000 \\ \\ \green{\tt: \implies C.I= 15,507\: rupees}$