The Indian cricket team played 20 one-day matches in a season and won 25% of…
2025
The Indian cricket team played 20 one-day matches in a season and won 25% of the matches they played. If they wanted a minimum success rate of 75%, what is the minimum number of matches they would have to play more?
Answer: C. 40 — Answer: 40 Explanation: Current wins = 25% of 20 = 5. Let n be the number of additional matches they win. Then required condition: (5 + n) / (20 + n) ≥ 0.75…
- A.
30
- B.
35
- C.
40
- D.
45
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Show answer & explanation
Correct answer: C
Answer: 40
Explanation:
Current wins = 25% of 20 = 5.
Let n be the number of additional matches they win. Then required condition:
(5 + n) / (20 + n) ≥ 0.75
Solve the inequality: 5 + n ≥ 0.75(20 + n) ⇒ 5 + n ≥ 15 + 0.75n ⇒ 0.25n ≥ 10 ⇒ n ≥ 40.
Check: With 40 more wins, total wins = 45 and total matches = 60, so success rate = 45/60 = 75%. With 39 more, 44/59 ≈ 74.58% < 75%, so 40 is the minimum.