Given,
Amount = Rs.45582.25
Rate \(={6}\frac{3}{2}\text%\) \(=\frac{27}{4}\text%\) p.a
Time = 2 years
Let principal = Rs.P
So,
A = \({P}[({1}+\frac{R}{100})^T]\)
\(={P}[({1}+\frac{27}{4\times100})^2]\) = 45582.25
\(={P}\times\frac{427}{400}\times\frac{427}{400}\) = 45582.25
\(={P}=\frac{45582.25 \times 400 \times 400}{427\times427}\) = Rs. 40000
Hence,
Principal = Rs. 40000