Calculate the amount and compound interest on Rs 8000 for 1 year at 8% per annum ,compound half yearly
Answers
Answer:
Given:
Principal(P) = Rs 8,000
Rate(R)=8% per Annum compounded. Half-Yearly
\begin{gathered}{ \huge{ = \frac{8}{2} \%}} \: per \: annum \: half \: \\ yearly\end{gathered}
=
2
8
%perannumhalf
yearly
= 4\% \: per \: annum \: half \: yearly=4%perannumhalfyearly
Time(t)= 1 year
=2 years . (As 1 year= 2 half yearly)
Now,
amount = P(1 + \frac{R}{100} ) {}^{n}amount=P(1+
100
R
)
n
8000 = (1 + \frac{4}{100} ) {}^{2}8000=(1+
100
4
)
2
= 8000 \times (1 + \frac{4}{2 \times 100} ) {}^{2}=8000×(1+
2×100
4
)
2
= 8000 \times (200 + \frac{4}{200} ) {}^{2}=8000×(200+
200
4
)
2
= 8000 \times ( \frac{204}{200} ) {}^{2}=8000×(
200
204
)
2
= 8000 \times \frac{204 \times 204}{200 \times 200}=8000×
200×200
204×204
= 8000 \times \frac{41616}{40000}=8000×
40000
41616
= 8323.2=8323.2
Amount = Principal + Interest
8652.8 = 8000 + Interest
Interest = 8652.8 -8000
Interest = 652.8
Therefore,
.Amount = Rs.8652.8
.Compound Interest = Rs. 652.8
Step-by-step explanation:
Hope it is helpful to you