Multiple choice

The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group B is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 persons of group A is 1725 kg, then what will be the average weight of the persons of group A and group C taken together (in kg)?

  1. 55.3

  2. 55.4

  3. 55.1

  4. 55
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let a, b, c be average weights of groups A, B, C. Given: a = b + 3, b = c + 2.5, and 30a = 1725. So a = 57.5 kg, b = 54.5 kg, c = 52 kg. Total weight of A = 1725 kg. Total weight of C = 20 × 52 = 1040 kg. Combined average = (1725 + 1040)/(30 + 20) = 2765/50 = 55.3 kg. Option A matches.

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