In a party, the average age of all the guests is 25 years. The average age of all the male guests is 29 years and the average age of all the female guests is 21 years. What is the percentage of the male guests present in the party?

In a party, the average age of all the guests is 25 years. The average age of all the male guests is 29 years and the average age of all the female guests is 21 years. What is the percentage of the male guests present in the party? Correct Answer 50 percent

Given 

The average age of all the guests = 25 years 

The average age of all the male guests = 29 years 

Formula Used 

Average = Sum of observation/ No. of observation

Calculation 

Let the number of male guest be x and female guest be y 

⇒ Age of all guest = age of male guest + age of female guest 

⇒ 25(x + y) = 29x + 21y 

⇒ x : y = 1 : 1 

So, Percentage of male guest in party = (x/2x) × 100 = 50% 

∴ The required answer is 50% 

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.