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    Question

    Out of total number of people in an office, 47% 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 70.
    A 240 Correct Answer Incorrect Answer
    B 230 Correct Answer Incorrect Answer
    C 280 Correct Answer Incorrect Answer
    D 240 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 × 0.47 = ‘47x’ Number of females in the office = 100x – 47x = ‘53x’ 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 = 53x – 28x = ‘25x’ According to question: 25x = 70 x = 2.8 So, total number of people in the office = 100 × 2.8 = 280

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