Zebpay is indeed the most popular bitcoin marketplace in India. It's pretty safe too. The transactions works flawlessly and the platform looks solid. I have used zebpay to purchase btc many times and I haven't faced any issues ever.
Other popular wallets include unocoin, localbitcoins etc.
Thank you for your answer. Is Zebpay is real exchange when members can buy and sell as well? Are deposit/withdrawals from bank account available or they are using Tether? And what are they fees?