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  9. Q414

RRB Group D (Level-1 posts) 2022 · Question 414 of 598

A group of people contains men, women, and children. If 40% of them are men, 35% are women and the rest are children, and their average weights are 70 kg, 60 kg, and 30 kg, respectively. The average weight of the group is:

  1. A45.5 kg
  2. B56.5 gm
  3. C45.5 gm
  4. D56.5 kgCorrect

Answer: D. 56.5 kg

Explanation

A group of people contains men, women, and children. If 40% of them are men, 35% are women, and the rest are children, and their aver Given Data: Percentage of men: 40%, Average weight of men: 70 kg Percentage of women: 35%, Average weight of women: 60 kg Percentage of children: 25% (100% - 40% - 35%), Average weight of children: 30 kg Solution: The average weight of the group can be calculated as: Average weight of group = (Percentage of men × Average weight of men + Percentage of women × Average weight of women + Percentage of children × Average weight of children) / 100 Substituting the values: Average weight of group = (40 × 70 + 35 × 60 + 25 × 30) / 100 Calculations: 40 × 70 = 2800 35 × 60 = 2100 25 × 30 = 750 Total weighted sum = 2800 + 2100 + 750 = 5650 Now, divide by 100 to get the average weight: Average weight of group = 5650 / 100 = 56.5 kg Final Answer: The average weight of the group is 56.5 kg.

Source: RRB Group D 2022 Prev. Yr. Paper (18 Aug 2022) (Shift 3) - Prepp · reliable-secondary

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