Given,
S.I – C.I = Rs. 46
Rate \({6}\frac{2}{3}\text%\) \(=\frac{20}{3}\text%\) per annum
Time = 3 years
Let principal = Rs. P
So,
\(\frac{P \times 3 \times 20}{3\times100}-{P}[({1}+\frac{20}{300})^3-{1}]\) = 46
\(=\frac{P}{5}-\frac{721P}{3375}\) = 46
\(=\frac{675P-721P}{3375}\) = 46
\(={P}=\frac{3375\times46}{46}\) = Rs.3375
Hence,
Principal = Rs. 3375