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A cricketer, whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs and thereby decreases his average by 0.85. The number of wickets taken by him till the last match was: 
  • a)
    80 
  • b)
    72 
  • c)
    85
  • d)
    96
Correct answer is option 'C'. Can you explain this answer?
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Solution:

Let the number of wickets taken by the cricketer till the last match be 'x' and his total runs be 'y'.

Given, his bowling average is 24.85 runs per wicket.

Therefore, y/x = 24.85 ---(1)

He takes 5 wickets for 52 runs in the current match.

Therefore, (y+52)/(x+5) = 24.85 - 0.85

=> (y+52)/(x+5) = 24 ---(2)

On solving equations (1) and (2), we get

y = 1245 - 24.85x ---(3)

On substituting equation (3) in equation (1), we get

(1245 - 24.85x)/x = 24.85

=> 1245 - 24.85x = 24.85x

=> 49.7x = 1245

=> x = 25

Therefore, the number of wickets taken by the cricketer till the last match was 25+5 = 30.

Option (c) 85 is the correct answer.
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A cricketer, whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs and thereby decreases his average by 0.85. The number of wickets taken by him till the last match was:a)80b)72c)85d)96Correct answer is option 'C'. Can you explain this answer?
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