Question

A team plays 40 matches in any year and wins 40% of the matches. Next year the team won some consecutive matches and the percentage of its winning matches become 80%. Find out how many matches did the team won consecutively.

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Answer 1

Team won 80 Matches consecutively

Step-by-step explanation:

A team plays 40 matches in any year and wins 40% of the matches.

=> matches won = (40/100) 40 = 16

Let say team won consecutively  M matches

then Total match played = 40 + M

Matches won = 16 + M

Winning Matches % = 80 %

=>  100 * (16 + M)/(40 + M)  = 80

=> 5(16 + M) = 4(40 + M)

=> 80 + 5M = 160 + 4M

=> M = 80

Team won 80 Matches consecutively

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Answer 2

$\huge\star\mathfrak\blue{{Answer:-}}$

A team plays 40 matches in any year and wins 40% of the matches.

=> matches won = (40/100) 40 = 16

Let say team won consecutively M matches

then Total match played = 40 + M

Matches won = 16 + M

Winning Matches % = 80 %

=> 100 * (16 + M)/(40 + M) = 80

=> 5(16 + M) = 4(40 + M)

=> 80 + 5M = 160 + 4M

=> M = 80

Team won 80 Matches consecutively