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    Question

    Out of total number of people in an office, 42% are

    males. Ratio of number of married to that of unmarried people in the office is 3:2 while ratio of number of married males and married females in the office is 8:7, respectively.  Find the total number of people in the office if the number of unmarried females in the office is 144.
    A 450 Correct Answer Incorrect Answer
    B 460 Correct Answer Incorrect Answer
    C 480 Correct Answer Incorrect Answer
    D 470 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total number of people in the office be ‘100x’ Number of males in the office = 100x × 0.42 = ‘42x’ Number of females in the office = 100x – 42x = ‘58x’ Total number of married people in the office = 100x × (3/5) = ‘60x’ Total number of unmarried people in the office = 100x × (2/5) = ‘40x’ Number of married males in the office = 60x × (8/15) = ‘32x’ Number of married females in the office = 60x – 32x = ‘28x’ Number of unmarried females in the office = 58x – 28x = ‘30x’ According to question: 30x = 144 x = 4.8 So, total number of people in the office = 100 × 4.8 = 480

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