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It was Pedro who carved out Chelsea's third when he squared for a simple finish by Giroud and the scurrying Spaniard claimed Chelsea's fourth in the 27th minute.
Arsenal became only the second team in Europa League history to win a tie after losing the first leg 3-1.
Inter Milan, the winners of three European Cup and UEFA Cup titles apiece, also strolled through with a 4-0 home win over Rapid Vienna which completed a 5-0 dismissal.
Perera was not out on 153, as he put on 78 for the last wicket with Vishwa Fernando, taking Sri Lanka to a victory target of 304 that had looked out of sight for much of the innings.
Visitors Chelsea desperately needed a response after back-to-back humiliating away losses, with last Sunday's 6-0 thrashing by Manchester City following a 4-0 reverse at Bournemouth.
Rishabh Pant has jumped as many as 21 places to be 17th, the joint-highest by a specialist India wicketkeeper along with Farokh Engineer, who did so in January 1973.
Chelsea kept up their pursuit of the Premier League's top three clubs with a 1-0 win away to London rivals Crystal Palace on Sunday.
Olivier finished with 5-59 to go with his first innings figures of 6-37 as Pakistan set South Africa a target of 149.
Dale Steyn is level with former all-rounder Shaun Pollock on 421 Test wickets
Macron sought to restore calm and struck a humble tone after accusations his governing style and economic policies were fracturing the country.