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    Question

    In a party, the ratio between number of present male and

    number of present female is 6:5 respectively. After 3 hours, 30 males join the party and 5 women leave the party. If the final ratio between male to female is 12:7, then find the total number of people initially present in the party.
    A 172 Correct Answer Incorrect Answer
    B 165 Correct Answer Incorrect Answer
    C 155 Correct Answer Incorrect Answer
    D 145 Correct Answer Incorrect Answer

    Solution

    Let the number of male and female present in the party initially be 6x and 5x respectively.
    ATQ,
    (6x + 30) /(5x - 5) = (12/7)
    Or, 7 X (6x + 30) = 12 X (5x - 5)
    So, 42x + 210 = 60x - 60
    So, 270 = 18x
    So, 'x' = 15
    So, required number of people = 6x + 5x = 11 X 15 = 165

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