Question

In a club having 360 members, 40 play carrom, 96 play table tennis, 144 play badminton and remaining members play volley-ball. If no member plays two or more games, find the ratio of members who play :

(i) carrom to the number of those who play badminton.

(ii) badminton to the number of those who play table-tennis.

(iii) table-tennis to the number of those who play volley-ball.

(iv) volleyball to the n umber of those who play other games.

Answer 1

Total members in a club = 360 members

Members who play carrom = 40

Members who play table tennis = 96

Members who play badminton = 144

Members who play volleyball = 360 – (40 + 96 + 144) 

= 360 – 280 = 80

(i) Ratio between the members who play carrom to the number of those who play badminton 

= 40 : 144 => 5 : 18

(ii) Ratio of members who play badminton to the number of those who play table- tennis

= 144 : 96 => 6 : 4 = 3 : 2

(iii) Ratio of members who play table tennis to the number of those who play volley-ball

= 96 : 80 = 6 : 5

(iv) Ratio of members who play volley-ball to the number of those who play other games

= 80 : 280 =>4 : 14 = 2 : 7