CAT 2021 Question Paper (Slot 3) Question 47

Question 47

In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will be 50%. Suppose they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will be


Initially number of matches = 40 
Now matches won = 12 
Now let remaining matches be x 
Now number of matches won = 0.6x
Now as per the condition :
24 +1.2x=40+x
Now when they won 90% of remaining = 80(0.9) =72
So total won = 84

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Kamna Bisht

1 year, 1 month ago

30% of 40 will be 12
So 90 % of the raning matches would be an integer
In option the total number of winning is mentioned so
So 68,66,72 is the 90% of two matches as it will not be an integer
Ans 84


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