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    Question

    Out of total number of people in an office, 37% 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 112.
    A 300 Correct Answer Incorrect Answer
    B 350 Correct Answer Incorrect Answer
    C 320 Correct Answer Incorrect Answer
    D 310 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 × 0.37 = ‘37x’ Number of females in the office = 100x – 37x = ‘63x’ 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 = 63x – 28x = ‘35x’ According to question: 35x = 112 x = 3.2 So, total number of people in the office = 100 × 3.2 = 320

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