Sangeeta lent Rs 40960 to Amar to purchase a shop at 12.5 % per annum. If the interest is compounded semi-annually, find the interest paid by Amar after 1.5 or 3/2 years ?

byAmlesh Mahato •March 21, 2021

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Solution:

⇨Given

⇨p=40960

⇨r=12.5 %

⇨n=1.5 or 3/2

⇨Then semi-annually Then the semi-annually Compound interest paid by Amar will be $\large C.I=p\left \{ \left ( 1+\frac{r}{2\times 100} \right )^{^{2n}}-1 \right \}$ $\large \Rightarrow C.I=40960\left \{ \left ( 1+\frac{12.5}{2\times 100} \right )^{^{2\times \frac{3}{2}}}-1 \right \}$ $\large \Rightarrow C.I=40960\left \{ \left ( 1+\frac{12.5}{200} \right )^{3}-1 \right \}$ $\large \Rightarrow C.I=40960\left \{ \left (\frac{200+12.5}{200} \right )^{3}-1 \right \}$ $\large \Rightarrow C.I=40960\left \{ \left (\frac{212.5}{200} \right )^{3}-1 \right \}$ $\large \Rightarrow C.I=40960\left \{\frac{9595703.125}{8000000}-1 \right \}$ $\large \Rightarrow C.I=40960\left \{\frac{9595703.125-8000000}{8000000} \right \}$ $\large \Rightarrow C.I=40960\times \frac{1595703.125}{8000000}$