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    Question

    In a seminar, the average number of male and female

    attendees is 540. 70% of males and 50% of females are professionals. If there are 588 non-professionals in total, what is the average of the number of male non-professionals and female professionals?
    A 300 Correct Answer Incorrect Answer
    B 250 Correct Answer Incorrect Answer
    C 246 Correct Answer Incorrect Answer
    D 238 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total attendees = 540 × 2 = 1080 Let males = M, females = F → M + F = 1080 Non-professionals: 30% of M + 50% of F = 588 → 0.3M + 0.5(1080 − M) = 588 → 0.3M + 540 − 0.5M = 588 → −0.2M = 48 → M = 240, F = 840 Male non-professionals = 0.3 × 240 = 72 Female professionals = 0.5 × 840 = 420 Average = (72 + 420) / 2 = 246

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