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    Question

    The ratio of the number of people

    in A and B Companies is 4:5. 70% and 72% of people in A and B Companies passed the interview, respectively. After the regulation of the passing mark's in interview, the number of people who passed increased by 8 in both companies. If the total number of people who failed in interview is now 36, then find the total number of people in both A and B Companies.
    A 180 Correct Answer Incorrect Answer
    B 145 Correct Answer Incorrect Answer
    C 165 Correct Answer Incorrect Answer
    D 175 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let number of people in A and B be 4p and 5p respectively. 4p - (4p × (70/100) + 8) + 5p - (5p × (72/100) + 8) = 36 4p - 2.8p - 8 + 5p - 3.6p - 8 = 36 2.6p = 52 p = 20 Total number of people = 4p + 5p = 9 × 20 = 180

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