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A batsman scores - some runs in his 51st complete inning so that his average increases from 59.6 to 60. The runs scored by the batsman in h…

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A batsman scores - some runs in his 51st complete inning so that his average increases from 59.6 to 60. The runs scored by the batsman in his 51st inning are
  • A75
  • B70
  • C100
  • D80
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Let the total runs scored in 51st innings be a.

Given,

Average runs scored in 50 innings = 59.6

Total runs scored in 50 innings = 59.6 × 50 = 2980

Given,

Average runs scored in 51 innings = 60

Total runs scored in 51 innings = 60 × 51 = 3060

Then,

⇒ a = 3060 - 2980

⇒ a = 80

∴ He scored 80 runs in his 51st innings.