Solutions
total students = 1250
No. of students like football =
No. of students who like Cricket =
And, No. of students who like Badminton =
No. of students who like only Football =
No. of students who like only Cricket =
No. of students who like only Badminton =
Suppose k students like all sports, x only footballl and criket, y only football and badminton and z only cricket and badminton
...(i)
Similarly, ...(ii)
And ...(iii)
And,
Or ....(iv)
After solving we get the value of x= 60, y= 90, z= 80 and k = 110
We have to find number of students like at least game
Two games are
= all students – students who likes all games
= 1250 – 520 = 730
Required number of percentages =