Jaffer, who led India's fightback in the first Test against the hosts with a career-best 113 not out, said he was happy to chip in at a time when the chips were down.
''It's obviously a very special feeling, getting a Test hundred in the West Indies, especially when the team was in a very difficult situation,'' Jaffer told reporters.
''Last time, I missed a hundred here. So I am happy now. I just tried to play straight most of the time,'' said the right-hander who spent almost five hours in the middle, facing 222 balls and his sedate knock included 12 hits to the fence.
''I was here last time and so I'm quite familiar with the conditions. But they had a totally different bowling attack then,'' Jaffer said.
And it was chiefly to his unbeaten ton that India made a comeback in the match and reached 215 for two, thus taking an 85-run lead, erasing the overnight deficit of 130 runs.
This was Jaffer's second Test hundred and first away ton.
One of the most prolific run-getters in domestic cricket, Jaffer scored his maiden century against England in Nagpur in March this year.
Jaffer echoed coach Greg Chappell's opinion and felt a 300-plus lead would be handy in the match and lot would depend on Anil Kumble on the fifth and final day.
''Now we are looking at a lead of around 300, which will be quite difficult for the West Indies to chase, especially with Anil Kumble bowling on a fifth day wicket.
''The pitch is lot more easier since the first day. I think it's going to be difficult on the last two days and it would be really tough for them against Kumble,'' he added.