In a class, 8% of total students are interested in Football. Four-fifth of total students are interested in Cricket. 10% of total students are interested in Basketball and remaining 20 students are not interested in any games. How many students are there in the class?
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Answer:
1000 students
Step-by-step explanation:
The trick is to identify the percentages of students of all categories.
Four fifths implies 4/5 which is 80% (Cricket).
8% (Football)
10% (Basketball)
Total until now is 80%+10%+8% = 98%
So, remaining will be 2% (not interested in any sport) = 20 students.
Now a simple ratio method will suffice. If 2% corresponds to 20 students, 100% will correspond to X students.
Solving for it will yield answer 1000 students.
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