A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 2

Question

A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is:

Options:

A . 64

B . 72

C . 80

D . 85

Answer: Option D

Let the number of wickets taken till the last match be x. Then,(12.4x + 26)/(x + 5) = 12= 12.4x + 26 = 12x + 60= 0.4x = 34 = x = 340/4 = 85.

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