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Question

A cricketer given 12.4 runs per wicket.He gives 26 runs and takes 5 wicket in a match after which his average become 12 per wickets. How many wickets had been taken till the last match?

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Solution

Average run per wicket =12.4
LEt no. of wickets taken before last amtch=x
Totalrunsno.ofwicket=12.4
Total runs before last match=12.4×x
In last match, he takes =5 wickets
In last match he gives=26 runs
Average run per wicket become=12
According to question
12.4×x+26x+5=1212.4x+26=12x+6012.4x12x=60260.4x=34x=340.4=3404x=85
Hence the cricketer takes =x+585+5=90
90 wickets



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