Question

In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is \( 66\frac{2}{3} %\). What should be the success rate for the remaining games in order to reach the target?

• A. \( 84\frac{5}{7} %\)
• B. \( 85\frac{1}{3} %\)
• C. \( 93\frac{2}{3} %\)
• D. \( 97\frac{1}{7} %\)

Hint:

Break the problem into known and unknown parts, and use basic percentage logic for the remainder.

Answer 1

The Correct Option is D

Total games = 160. Desired wins = 80% of 160 = 128 games. Games already played = 90. Wins so far = \( \frac{2}{3} \times 90 = 60 \) wins. Remaining games = 160 - 90 = 70 games. Wins needed = 128 - 60 = 68. So, required success rate = \( \frac{68}{70} \times 100 = 97\frac{1}{7} % \)