Its fairly simple to answer the first part of this question. The second part is where (imo) the brain storming should really begin. If it was still 2009, the answer would have been simple, PayPal ! but its 2013 now and no clear answer for the second part !
I hope someone here can answer this question,
How can an Indian merchant accept credit cards in 24 hours and not have to wait for all the legal red tape ?