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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)?

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)? Correct Answer 55.3

Given: 

Total weight of 30 people of group A = 1725 kg

No of persons in group B = 25

No of persons in group C = 20

Formula used: 

Average = Sum of Obervations/ Total no of Observations

Calculation:

Let the average weight of group C be x kg 

Let the average weight of group B be (x + 2.5) kg

Let the average weight of group A be (x + 2.5 + 3) kg

According to the question:

The average weight of group A = 1725 kg/ 30 

⇒ (x + 5.5) × 30 = 1725 kg 

⇒ 30x + 165 = 1725

⇒ x = 1560/30 = 52 kg

Average weight of group A = 52 + 5.5 = 57.5 kg 

Average weight of group C = 52 kg 

∴ Average weight of group A and C together = (57.5 × 30 + 52 × 20)/ (30 + 20)

⇒ 2765/50 = 55.3 kg

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