compoun
In what time will Rs 2000 amount to Rs 3456 at 20% per annum, interest
compounded annually?
Answers
Answered by
0
Answer: It takes 1\dfrac{1}{2}1
2
1
years .
Step-by-step explanation:
Since we have given that
Principal amount = $2000
Amount = $2662
Rate of interest compounded half yearly = 20%
As we know the formula of "Compound interest":
\begin{gathered}A=P(1+\dfrac{r}{200})^{2n}\\\\2662=2000(1+\dfrac{20}{200})^{2n}\\\\\dfrac{2662}{2000}=(1+\dfrac{1}{10})^{2n}\\\\\dfrac{1331}{1000}=(\dfrac{11}{10})^{2n}\\\\(\dfrac{11}{10})^3=(\dfrac{11}{10})^{2n}\\\\2n=3\\\\n=\dfrac{3}{2}=1\dfrac{1}{2}\ yrs\end{gathered}
A=P(1+
200
r
)
2n
2662=2000(1+
200
20
)
2n
2000
2662
=(1+
10
1
)
2n
1000
1331
=(
10
11
)
2n
(
10
11
)
3
=(
10
11
)
2n
2n=3
n=
2
3
=1
2
1
yrs
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