The Minister also said that the real challenge today is to bring a further spurt in investment, concentrate on infrastructure and improve manufacturing in a big way.
"I think time has come to enter into the next phase where we give spurt to these goals which are essential for reviving Indian economy," he said.
"The days ahead are going to be extremely exciting... when even these sections (unbanked population) have RuPay cards, and lots of Indian spending goes into banking sector, probably days are not very far when we could probably match the Chinese growth," he said at an ICICI Bank function.
China has been the world's fastest growing economy in the recent times, recording double digit growth rate for almost two decades.
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On the other hand, India touched a peak of 9.6 per cent in 2006-07 and has since tapered to below five per cent in last two years.
"We have reached a situation which does not excite anyone. I think this challenging and troubled time we are passing through are capable of becoming important turning point in Indian history," Jaitley said.
Over 10 crore bank accounts have already been under the scheme a month ahead of the schedule.
Besides, the government has begun the direct benefit transfer of subsidies to the accounts of beneficiaries, he added.