CAT 2021 Number System Question (Medium)

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

Step 1 Matches played 40 Matches won 30 of 40 12 Let remaining matches x If they win 60 of remaining Wins 12 0.6x Total matches 40 x Overall win 50 12 0.6x 40 x 0.5 Step 2 Multiply both sides 12 0.6x 0.5 40 x 12 0.6x 20 0.5x 0.1x 8 x 80 Total matches 40 80 120 Now if they win 90 of remaining Additio

CAT 2021

Quantitative

Number System

Medium

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

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