the average wage of all the workers in a factory is 500 if the average wages paid to male and female are 600 and 200 respectively find percentae of male and female workers
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Answer:
Let the number of male and female employees be M and F respectively. Then,
Total salary of male employees = Rs 5200 M
Total salary of female employees = Rs 4200 F
Total number of employees = M + F
∴ Total salary of all the employees = Rs 5000 (M + F)
∴ 5200 M + 4200 F = 5000 M + 5000 F
⇒200M=800F⇒
F
M
=
1
4
⇒M:F=4:1
∴ Percentage of female employees = (
5
1
×100)% = 20%
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