Nopes that's illegal
https://www.rbi.org.in/scripts/FAQView.aspx?Id=53
You can carry only upto USD 3000 in FCY Notes/ coins....
And there's another worrisome rule-
"For private visits abroad, other than to Nepal and Bhutan, viz., for tourism purposes, etc., any resident can obtain foreign exchange up to an aggregate amount of USD 10,000, from an Authorised Dealer, in any one financial year, on self-declaration basis, irrespective of the number of visits undertaken during the year. This limit of USD 10,000 or its equivalent per financial year for private visits can also be availed of by a person who is availing of foreign exchange for travel abroad for any purposes, such as, for employment or immigration or studies."