1.

500 people live in a housing society. Their average age is 30 years. 125 people go out of town during the holidays, raising the average age of the remaining people two years. What will be the average age of those who leave in vacation?1. 22 years2. 24 years3. 20 years4. 26 years

Answer» Correct Answer - Option 2 : 24 years

Given :

Total of 500 people live in a society 

Their average age is 30 years 

125 people go out for a holiday 

Formula used :

Average = Total value of all observations/Number of observations 

Calculations :

Sum of the age of all people = 500 × 30 = 15000 years 

Remaining people who stays at society = 500 - 125 = 375 

Sum of the age of remaining people = 375 × 32  (Age increased by 2 years)

⇒ 12000 years 

Sum of age who left for vacation = 15000 - 12000 

⇒ 3000 

The average age of people left for vacation = 3000/125 

⇒ 24 years 

∴ The average age of the people who leave for vacation is 24 years



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