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Question
In a club has 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 number of those who play other games.
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Solution
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
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