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The average salary of male employees in a firm was Rs 5200 and that of females was Rs 4200. The average salary of all the employees was Rs 5000. What is the percentage of female employees ? 

(a) 80% 

(b) 20% 

(c) 40% 

(d) 30%

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Answer is: (b) 20%

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)

∴ 5200M + 4200F = 5000M + 5000F

⇒ 200M = 800F ⇒ \(\frac{M}{F}=\frac{4}{1}\) ⇒ M : F = 4 : 1

∴ Percentage of female employees = \((\frac15\times100)\) % = 20%

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