A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weights are 45 kg, 50 kg and 50 kg, respectively. The average weight (in kg) of the group is:

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  1. 48
  2. 50
  3. 49
  4. 51

Answer (Detailed Solution Below)

Option 3 : 49
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Given:

Percentage of men = 20%

Percentage of women = 50%

Percentage of children = Rest = 100% - (20% + 50%) = 30%

Average weight of men = 45 kg

Average weight of women = 50 kg

Average weight of children = 50 kg

Formula Used:

Average weight of the group = (Sum of individual weights × respective percentages) / 100

Calculation:

Average weight of the group = ((45 × 20) + (50 × 50) + (50 × 30)) / 100

⇒ Average weight of the group = (900 + 2500 + 1500) / 100

⇒ Average weight of the group = 4900 / 100

⇒ Average weight of the group = 49 kg

The average weight of the group is 49 kg.

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