cat 2021 Question 14

Question

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

Accepted Answer

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 :

$\frac{12 + 0.6x}{40+x} = \frac12$

24 +1.2x=40+x

0.2x=16

x=80

Now when they won 90% of remaining = 80(0.9) =72

So total won = 84

Question 14.

Question Explanation