. find the compound interest on 25000 for 1 and half year at 8% pA when the interest is compounded half yearly
please give me solution
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Step-by-step explanation:
Given
Principle = Rs 25000
The interest is compounded annually
Therefore
Rate ; R= \dfrac{8}{2} = 4\%
2
8
=4%
Time : t = 1\dfrac{1}{2} \times 2 = 3 years1
2
1
×2=3years
Now as we know
\begin{gathered}A=P(1+\dfrac{R}{100} )^t= 25000(1+\dfrac{4}{100} )^3\\\\=25000\times \dfrac{104}{100} \times \dfrac{104}{100} \times \dfrac{104}{100} = Rs. 28121.6\end{gathered}
A=P(1+
100
R
)
t
=25000(1+
100
4
)
3
=25000×
100
104
×
100
104
×
100
104
=Rs.28121.6
C.I. = amount - principle =28121.6- 25000= Rs. 3121.6
Hence , the compound interest is Rs. 3121.6
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