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Following is the record of the performance of a football team for the seven tournaments played in a year

TournamentMatches wonMatch LostTotal matches played
1538
2448
3527
4639
5426
6336
7246

What percent of the matches did the team win overall?

  • A.58%
  • B.80%
  • C.75%
  • D.52%

Answer: A

The team won 58% of its matches.

Add the matches won and the total played across the seven tournaments:

\[ \begin{aligned} \text{won} &= 5+4+5+6+4+3+2 = 29 \\ \text{played} &= 8+8+7+9+6+6+6 = 50 \end{aligned} \]

\(29/50 = 58\%\). Averaging the seven separate win percentages would give a slightly different figure, because the tournaments have different numbers of matches. 52%, 75% and 80% do not match the totals.

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