Question

Find the compound interest on Rs.5000 at 12% p.a. for 1 year, compounded half yearly.

Answer 1

★ Question.

→ Find the compound interest on Rs.5000 at 12% p.a. for 1 year, compounded half yearly.

________________________

→ Given.

★principal (p) = 5000

★Rate of interest = 12% p.a.

★Time = 1 year

→ To find.

★ compound interest (c.i.)

_________________________

★ Solution.

★Formula↓

Amount (A)= $\longrightarrow(1+\frac{r}{2})^{2n}$

→ Acoording to question.

$\longrightarrow 5000×(\frac{1+12}{2×100})^{2×1}$

$\longrightarrow 5000×(\frac{1+6}{100})^2$

$\longrightarrow5000×(\frac{100+6}{100})^2$

$\longrightarrow5000×\frac{106}{100} × \frac{106}{100}$

$\longrightarrow{\fbox{\fbox{\red{5618}}}}$

$\longrightarrow C.I.= (A-P) \\ \longrightarrow C.I. = 5618-500 \\ \longrightarrow C.I = 618$

Answer 2

formula- CI=P[(1 + R/100) raise to the power n -1]

information given in question-

p=5000

n=1 year

R=12%

now find the CI-

= 5000[(1+ 12/100) raise to the power 1, -1 ]

= 600=CI