SSC MTS 2024 PYQ — Question 10

SSC MTS - 28/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q10

The average weight of 40 athletes and 5 trainers is 72 kg. When six more athletes of average weight 65 kg are included in the group, what is the average weight (in kg) of the group? (Rounded off to 2 decimal places)

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 71.18.

Total people in the original group = 40 athletes + 5 trainers = 45 people

Total weight of the original group:

Average weight = 72 kg

Total weight = 45 × 72 = 3240 kg

Total weight of 6 more athletes = 6 × 65 = 390 kg

New total weight = 3240 + 390 = 3630 kg

New total number of people = 45 + 6 = 51 people

New average weight = 3630 ÷ 51 = 71.18 kg