Multiple choice

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighting 65 kg. The weight of the new person is

  1. 84 kg

  2. 85 kg

  3. 76 kg

  4. 76.5 kg
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total weight increase = 8 * 2.5 = 20 kg. New person weight = Old person weight + Increase = 65 + 20 = 85 kg.

AI explanation

Using the replacement method formula, the weight of the new person equals the weight of the replaced person plus the increase in average multiplied by the total number of persons. The total weight increase across the 8 persons is the 2.5 kg average increase multiplied by 8, which equals 20 kg. Therefore, the weight of the new person is 65 kg plus 20 kg, resulting in 85 kg.

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