Question:
In a school, 70 play only hockey, 100 play only football, 30 play both the games. 150 do not play anything at all. What is the percentage (rounded to two decimals) of hockey players to total students in the school?
In a school, 70 play only hockey, 100 play only football, 30 play both the games. 150 do not play anything at all. What is the percentage (rounded to two decimals) of hockey players to total students in the school?
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Remember to add the "both" category when calculating the total for one specific game.
Updated On: Jun 12, 2026
- 46.6%
- 20%
- 28.57%
- 66.6%
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept:
Total players in a category = (Only category) + (Both).
Step 2: Detailed Explanation:
1. Hockey players = 70 (only) + 30 (both) = 100.
2. Total students = 70 (hockey only) + 100 (football only) + 30 (both) + 150 (none) = 350.
3. Percentage = (Hockey Players / Total Students) * 100
- \( (100 / 350) \times 100 = (1/3.5) \times 100 = 200/7 \approx 28.57\% \).
Step 3: Final Answer:
The percentage is 28.57%.
Total players in a category = (Only category) + (Both).
Step 2: Detailed Explanation:
1. Hockey players = 70 (only) + 30 (both) = 100.
2. Total students = 70 (hockey only) + 100 (football only) + 30 (both) + 150 (none) = 350.
3. Percentage = (Hockey Players / Total Students) * 100
- \( (100 / 350) \times 100 = (1/3.5) \times 100 = 200/7 \approx 28.57\% \).
Step 3: Final Answer:
The percentage is 28.57%.
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