Yuvraj, who was dropped on 47 by Sanju Samson, shared a game-changing 132 run partnership with de Villiers as RCB scored 84 runs in the last five overs to snatch the momentum from their rivals, who were well in command till 12 overs.
Yuvraj, who received criticism from some quarters for his slow batting and failures in this IPL, began with a flourish as he smashed seven fours and seven sixes in 38-ball knock.
They belted 120 runs in the last eight overs, sending bowlers on a leather-hunt.
The duo were competing in hitting fours and sixes towards the end of the innings after RCB had a disastrous start,losing three wickets for 40 runs in 8.1 overs.
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RCB innings was off to a disastrous start after their captain Virat Kohli, who opened the innings instead of Parthiv Patel, returned to the dugout cheaply in third over.
Kohli tried to smash the ball over extra-cover, got a thick edge that went into the hands of Rajat Bhatia stationed at third man off Kane Richardson.
However, in the next over the oldest IPL player had the last laugh by having Gayle reaching for a googly and was caught by Sanju Samson behind the stumps after he had made 19 off 25 balls with three boundaries.
Vijay Zol, who played his first match of the season, made 16 runs off 14 balls with three boundaries, before he thick edged right-arm legbreak Rahul Tewatia's wrong one to captain Shane Watson standing in first slip.