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  1. The average salary of male employees in a firm was Rs. 5200 and that of females was Rs. 4200. The mean salary of all the employees was Rs. 5000. What is the percentage of female employees?
    1. 80%
    2. 20%
    3. 40%
    4. 30%
Correct Option: B

Let the number of male employees in the firm be p and that of female employees be q.
According to the question,

5200 × p + 4200 × q
= 5000
p + q

⇒ 52p + 42q = 50 (p + q)
⇒ 52p + 42q = 50p + 50q
⇒ 52p – 50p = 50q – 42q
⇒ 2p = 8q
⇒ p = 4q
∴ p + q = 4q + q = 5q
∴ Required percent =
y
× 100 = 20%
5y



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