If India has β=0.02 and initial GDP 1/4 of the US, the solution predicts India will close half the gap in ln ~35 years.
"In the Ramsey model, show that the consumption growth rate is zero when the real interest rate equals the rate of time preference." barro sala-i-martin economic growth solutions pdf
For graduate students, researchers, and advanced undergraduates in macroeconomics, (second edition) is the quintessential text. Often called the "Bible of growth theory," it bridges the gap between Romer’s endogenous growth models and the classical Solow-Swan framework. If India has β=0
Analyze the impact of a permanent increase in the savings rate in the Solow Model. and advanced undergraduates in macroeconomics