Question

In a club there are 12 wrestlers. When a wrestler whose weight is 90 kg leaves the club, he is replaced by a new wrestler then the average weight of this 12 member club increases by 0.75 kg. What is the weight (in kg) of the new wrestler who joined the club?

• A. 108
• B. 99
• C. 112
• D. 100

Answer 1

Answer:

B. 99

Solution: Given: Number of wrestlers = 12 A wrestler of 90 kg weight leaves. A new wrestler is replaced. Average weight of 12 members increases by 0.75 kg Formula used: Average weight = Total weight/Total number of people Calculation: Let the weight of the new wrestler be x kg Let the average weight of all the 12 wrestlers initially be y kg So, we get: 12y – 90 + x = 12 × (y + 0.75) ⇒ x = 99 ∴ The weight of the new wrestler who joined the club is 99 kg