C.R. Rangachari was a medium pace bowler who bowled with a slight round-arm action and moved the ball away from the batsman.
C.R. Rangachari was a student of the Pachaiyappa's College in Madras. When the Madras cricket league was started in 1932, C.R. Rangachari played for Chepauk United Club and then he switched to Triplicane CC, a domestic cricket club in South India. There, C.R. Rangachari formed a fearsome partnership with M.J. Gopalan. Rangachari first claimed the spotlight when he took 9 for 45 against Mysore in an inter-association junior match in 1938. The same year he was selected to the Ranji team.
C.R. Rangachari was also a fine fielder, and fielding usually at silly mid-off, formed a nice combination with the spinner A.G. Ram Singh. He was selected for the tour of Australia in 1947 to 1948. He took a hat-trick in the match against Tasmania. On his debut at Adelaide he took 4 for 141, dismissing Neil Harvey, Keith Miller, Ray Lindwall and Ian Johnson. His career best bowling was 5 for 107 against West Indies at Delhi.
C.R. Rangachari played unofficial Tests against Australian Services Team in 1945/46 and against the first Commonwealth team in 1949/50, and two M. J. Gopalan Trophy matches.
C.R. Rangachari captained Madras in two matches in 1952 to 1953. He managed several Tamil Nadu-Madras and South Zone teams and was a state selector. He took 104 wickets for Madras in Ranji Trophy. His son C. R. Vijayaraghavan has umpired in One Day Internationals and first class cricket and as a third umpire in Test matches.
C.R. Rangachari, later, after retiring from Indian Cricket, worked in the police department and retired as the Deputy Superintendent. He died from a cardiac failure on October 9, 1993 at Madras (now called Chennai) in Tamil Nadu.