You can easily sell/purchase Lite Coin on Koinex Exchange using INR.
Sign up using my referral link and you will get Rs 50 in your INR wallet for free when you make your first order.
In my opinion it is a decent option to go for since it is a proper exchange where prices are determined by present buyers and sellers unlike Zebpay, UnoCoin (for Bit Coin of course) where the Company sets a predetermined price.
Alternatively you can purchase Bitcoins on Zebpay, UnoCoin and then convert them into Lite Coins on some foreign exchange (although I would recommend to go for the former option)
Zebpay Sign Up Link - Get bitcoins worth ₹100 free on your first bitcoin buy or sell with referral code 'REF29769248'. Download the app: http://link.zebpay.com/ref/REF29769248.
UnoCoin Sign Up Link - https://www.unocoin.com/?referrerid=597575
Sign up using this link and in coupon code mention COINDESK200
You will get Rs.200 worth free Bit Coins.