Correct Answer - Option 2 : 44
Given:
Average weight of number of person = 78kg.
Average weight of remaining persons = 77.725 years.
Concept Used:
Average weight of number of person - Average weight of 4 persons = Average weight of remaining persons
Calculation:
Let the number of persons be x.
then, Total weight of number of person = (78x)
Total weight of remaining persons = 77.725 (x – 4)
Average weight of 4 person = 80.75kg × 4 = 323 kg
Average weight of number of person - Average weight of 4 persons = Average weight of remaining persons
⇒ 78x – 323 = 77.725(x - 4)
⇒ 78x – 323 = 77.725x – 310.9
⇒ 78x – 77.725x = 323 – 310.9
⇒ 0.275x = 12.1
⇒ x = 12.1/0.275
⇒ x = 44
∴ The number of persons initially is 44.