Multiple Choice Questions on 20 boys and 32 girls from a group for social work During their membership same number of boys and gi........... for SSC CGL Exam Preparation

Ratio, Proportion

Quantitative Aptitude (CGL)

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    20 boys and 32 girls from a group for social work. During their membership same number of boys and girls joined the group. How many members does the group have now if the ratio of boys to girls is respectively?

    75

    Incorrect Answer

    86

    Incorrect Answer

    68

    Incorrect Answer

    None of these

    Correct Answer
    Explanation:

    Let the number of boys that joined be x
    The number of girls that joined = number of boys that joined = x
    The ratio became 3 : 4
    (20 + x) / (32 + x ) = 3/4
    4(20 + x) = 3(32 + x)
    80 + 4x = 96 + 3x
    x = 96 - 80
    x = 16
    16 boys and 16 girls joined the group
    find the number of people in the group 
    now:boys = 20 + 16 = 36
    girls = 32 + 16 = 48
    Total = 36 + 48 = 84


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