In what time will a sum of ₹8000 become ₹9261 at the internet rate of 10% per annum if the interest is compounded half-yearly
Answers
Answer:
The sum Rs. 8000 becomes Rs. 9261 in 3 year six monthly at 10% p.a.
Step-by-step explanation:
Since we have given that
Principal = Rs. 8000
Amount = Rs. 9261
Rate of interest = 10%
It is half yearly compounded.
So, it becomes,
\begin{gathered}A=P(1+\dfrac{R}{200})^{2n}\\\\9261=8000(1+\dfrac{10}{200})^{2n}\\\\\dfrac{9261}{8000}=(1+\dfrac{1}{20})^{2n}\\\\\sqrt{\dfrac{9261}{8000}}=(\dfrac{21}{20})^n\\\\(\dfrac{21}{20})^3=(\dfrac{21}{20})^n\\\\n=3\end{gathered}
A=P(1+
200
R
)
2n
9261=8000(1+
200
10
)
2n
8000
9261
=(1+
20
1
)
2n
8000
9261
=(
20
21
)
n
(
20
21
)
3
=(
20
21
)
n
n=3
Hence, the sum Rs. 8000 becomes Rs. 9261 in 3 year six monthly at 10% p.a.
# learn more:
If rupees £8,000 to rupees 9261 in 3 years at compound interest find the rate of interest per annum
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