Most number of runs made by a captain in a single Test series

SYDNEY, AUSTRALIA - JANUARY 08:  Virat Kohli of India celebrates and acknowledges the crowd after scoring a century during day three of the Fourth Test match between Australia and India at Sydney Cricket Ground on January 8, 2015 in Sydney, Australia.  (Photo by Matt King/Getty Images)
Virat Kohli has been in stunning form lately 

#2 Graham Gooch (752 runs in 3 Tests)

Graham Gooch

India toured England in July 1990 where they were welcomed by English captain Graham Gooch with a few morale breaking knocks.

In the very first Test match, Gooch clobbered his way through to an outstanding 333 runs and then in the second innings smashed 123.

Even though India battled hard in the Test match, scoring 472 in the fourth innings proved to be a very tough ask as they were bowled out for 224.

In the second Test which ended in a draw Gooch once again got to a century in the first innings but then scored just 7 in the second.

In the third Test courtesy of an 187 from Ravi Shastri and 110 from Kapil Dev, India scored a massive 606 in Kennington Oval. But then Gooch came up with fighting 85 and 88 to help England save the Test match and with it clinch the series 1-0.

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