Given,
Principal = Rs.2000
Amount = Rs.2315.25
Time \(={1}\frac{1}{2}\) years \(=\frac{3}{2}\) years
Let rate = R % per annum
A \(={P}[({1}+\frac{R}{100})^T]\)
\(={2000}[({1}+\frac{R}{100})^{\frac{3}{2}}]\) = 2315.25
\(=({1}+\frac{R}{100})^{\frac{3}{2}}\) = 1.1576
\(={1}+\frac{R}{100}\) = 1.1025
\(=\frac{R}{100}\) = 0.1025
= R = 10.25%
Hence ,
Rate = 10.25%