Question

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% ...?

Answer 1

Answer: Option '4' is correct.

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

`(60)/(100)* 20\\\\=0.6* 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

`(80)/(100)* 30\\\\=0.8* 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

`(36)/(50)* 100\\\\=36* 2\\\\=72\%`

Hence, Option '4' is correct.

Answer 2

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)