Question

In a club having 100 members, 20 play carom, 24 play table tennis, 16 play badminton and the remaining do not play any game ( no member plays more than one game) Find the ratio of the number of members who play
(a) Carrom to the numbers of those who play table tennis
(b) Badminton to the number of those who play carom
(c ) Table tennis to the number of those who play badminton
(d) Badminton to the number of those who do not play any game.

[I give brainlist]

Answer 1

Answer:

a 20/24= 5/6

b 16/20= 4/5

c 24/16= 3/2

d 16/40= 2/5

Answer 2

Answer: - (a) 5 : 6

                 (b) 4 : 5

                 (c) 3 : 2

                 (d) 2 : 5

Detailed solution: -

Given: -

Total number of members in the club = 100

Members play carom = 20

Members play table tennis = 24

Members play badminton = 16

Members do not play any game = 100 - (20+24+16)

= 100 - 60

= 40

We need to find the ratio of the following: -

(a) The ratio of the members who play carom to the numbers of those who play table tennis = $20/24$

$= 5/6$ (divide both numerator and the denominator by 4)

= 5 : 6

(b) The ratio of the members who play badminton to the number of those who play carom = $16/20$

$=4/5$ (divide both numerator and the denominator by 4)

= 4 : 5

(c) The ratio of the members who play table tennis to the number of those who play badminton = $24/16$

$=3/2$ (divide both numerator and the denominator by 8)

= 3 : 2

(d) The ratio of the members who play badminton to the number of those who do not play any game = $16/40$

$=2/5$ (divide both numerator and the denominator by 8)

= 2 : 5

Therefore,

The answers are 5 : 6, 4 : 5, 3 : 2 and 2 : 5.

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