Question

(
In a survey 3/16 of the people said they preferred to visit self service restaurants. 5/8 said they would
like to be served food by waiters. The remaining 75 said they have no clear preference How many
people preferred self-service?
(B) 125
(C) 100
(D) 150
​

Answer 1

Answer:

Let total number of person = x

Number of person that preferred to use self-service = 3x/16

number of persons that not preferred to use self-service = 5x/8

and number of remaining persons that had no clear preference = 75

these three groups form total number of persons...

3x/16 + 5x/8 + 75 = x

=> 13x/16 + 75 = x

=> 75 = x - 13x/16

=> 75 = 3x/16

so, x = 400

Number of person that preferred to use self-service = 3/16 * 400 = 75