Given,
Present population of village = 9261
Continuous growth rate = 5%
Let 3 years ago population of village was = X
So
\(= X({1}+\frac{5}{100})({1}+\frac{5}{100})({1}+\frac{5}{100})\) = 9261
\(X\times\frac{21}{20}\times\frac{21}{20}\times\frac{21}{20}\)= 9261
\(=X =\frac{9261\times8000}{9261}\) = 8000
Hence,
3 years ago population of village was = 8000