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a team has won 60 percent of the 20 games it has playes so far this season. If the team plays a total of 50 games all season and wins 80 percent of the remaining games, then the percent of games it won for the entire season will be

  1. 66%
  2. 69%
  3. 70%
  4. 72%
  5. 74% ...?

Verified Answer :

syed514

So far team has won =(60/100)20 = 12 gamesTotal games played in season =5080 percent of the remaining games won = 80 percent of (50-20) = (80/100)30 = 24 games.Total game won this season = 36So, percent games won in the entire season = (36/50)*100=72%Answer (4)

Answer:  Option '4' is correct.

Step-by-step explanation:

Since we have given that

Total number of games =50

Firstly, he played 20 games.

Percentage of games they won = 60%

Number of games they won is given by

\(\dfrac{60}{100}\times 20\\\\=0.6\times 20\\\\=12\)

Remaining number of games = 50-20=30

Percentage of remaining games they won = 80%

So, number of games they won is given by

\(\dfrac{80}{100}\times 30\\\\=0.8\times 30\\\\=24\)

So, total number of games they won is given by

12+24 = 36

So, Percentage of games they won for the entire season will be

\(\dfrac{36}{50}\times 100\\\\=36\times 2\\\\=72\%\)

Hence, Option '4' is correct.

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