In a cricket series, Team A had a winning rate of 70% after playing x matches. Then they lost 20 matches consecutively, and their winning rate fell to 50%. Find the total matches played by Team A before the losing streak.
Show answer & explanation
Correct answer: B
Explanation
Given:
Initial matches played = x
Win percentage = 70%
Consecutive matches lost = 20
Final win percentage = 50%
Initial win = 70% × x = 0.7x
After losing 20 matches
Total matches = x + 20
Wins will remain the same = 0.7x
New win percentage = 50%
0.7x / (x + 20) = 50/100
0.7x / (x + 20) = 0.5
0.7x = 0.5x + 10
0.2x = 10
x = 50
Total matches played before losing = 50