a man whose bowling average is 12 4 takes 5 wickets for..., Average, General Mathematics

Question:A man whose bowling average is `12.4` takes `5` wickets for `26` runs and thereby decreases his average by `0.4`.The number of wickets, taken by him before his last match is :

A `85` 
B `78` 
C `72` 
D `64`

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+ AnswerA

+ ExplanationLet the number of wickets taken before the last match be x.

Then, `(12.4x + 26)/(x + 5)`

         `= 12 ⇒ 12.4x + 26`

         `= 12x + 60`
         
         ` ⇒ 0 .4x `

          `= 34 ⇒ x = 34/0.4`

          `= 340/4`

           `= 85`

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