The average age of 120 members of a society is 62.5 years. By addition of 30 new members, the average age becomes 58.2 years. What is the average age of newly joined members?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 41 years.
Total age of the initial 120 members = 120 × 62.5 = 7500 years
Total number of members after the addition = 120 + 30 = 150
Total age of all 150 members = 150 × 58.2 = 8730 years
Total age of new members = 8730 - 7500 = 1230 years
Average age of new members = 1230/30 = 41 years