After seven years and an estimated $2 billion wagered, Tiger Global Management, the New York-based hedge fund, is weeks away from notching its first meaningful exit in India’s start-up market. Japanese media and Internet conglomerate SoftBank Group Corp.’s monster Vision Fund is picking up a reported 20% stake in Bengaluru-based e-commerce firm Flipkart for $2.6 billion. About $1.4 billion, Mint reported, will go into Flipkart’s coffers. The remainder will be used to buy stakes from some of Flipkart’s existing shareholders. Tiger Global, according to multiple media reports, stands to corner $800 million or more. That would easily make it the largest exit payout to a single investor in this market.