Question

A Welfare Association has a sports club where 30% of the members play cricket, 28% playvolleyball, 22% play badminton and the rest play indoor games. If 30 member play indoorgames.-(i) How many members are there in the sports club? (ii) How many play cricket, volleyball and badminton? Answer me quik frds ​

Answer 1

Answer:

(1) 150 (2) 45, 42, 33

Step-by-step explanation:

Let x be the total number of members.

The total percentage of all members will be 100% always.

Hence %playing Cricket + %playing Volleyball + %playing Badminton + %playing indoor games = 100%

=> 30 + 28 + 22 + %playing indoor games = 100

=>  %playing indoor games = 100 - 80 = 20.

But it is given number of members playing indoor = 30.

=> 20% of total members = 30

=> 20% of x = 30

=> 20/100 * x = 30

=> x = 30* 100/20 = 150.

Total number of members = 150.

Number of members playing Cricket = 30/100 * 150 = 45

Number of members playing volleyball = 28/100 * 150 = 42

Number of members playing badminton = 22/100 * 150 = 33