The average weight of all the 200 employees in an office is 68.2 kg, where 2/5 of the employees are ladies and the ratio of the average weight ofa man to that of a woman is 7 : 5. Find the average weight of the female employees.
This questions was previously asked in
SSC MTS 8th July 2022 Shift-3
Explanation:
Correct option:3
Solution:
The average weight of all the 200 employees in an office is 68.2 kg, where 2/5 of the employees are ladies and the ratio of the average weight of a man to that of a woman is 7 : 5.
Total = Average x Number of entities
Number of female employees = 200 x 2/5 = 80
Number of male employees = 200 - 80 = 120
Total weight of 200 employees = 200 x 68.2 = 13640 kg
Let the average weight of a male and female employee be 7k and 5k respectively.
According to the question, (80 x 5k) + (120 x 7k) = 13640
400k + 840k = 13640
k = 13640/1240
k = 11
5k = 55
:. The average weight of a female employee is 55 kg.
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