GATE | GATE CS 2018 | Question 7
In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?
Let total males and females be 60x and 40x respectively. Total number of people = (60x + 40x) Total number of people who attended : 0.8(60x + 40x) = 80x Let y males attended. It is given all 1females attended 40x + y = 80x y = 40x which is same as females.
Alternative Approach –
Lets total number of people = 100.
Therefore, 60 are male and and 40 are female.
But total 80 guests are attended and all 40 female attended the party.
So, there remaining (80 – 40 = 40) attendees should be male.
Then the ration of male to female among attendees is 40 : 40 = 1 : 1
Quiz of this Question
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