# 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?

**(A)** 2:3

**(B)** 1:1

**(C)** 3:2

**(D)** 2:1

**Answer:** **(B)** **Explanation:**

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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