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SSC Quantitative Aptitude Ratio and Proportion Question Bank Ratio and Proportion (II)

  • question_answer
    In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the number of boys to girls in 6 : 5, is [SSC CGL Tier II, 2017]

    A) 6

    B) 7

    C) 12

    D) 17

    Correct Answer: B

    Solution :

    [b] Let, number of boys in union\[=5x\] and number of girls in union \[=3x\] According to the question, \[5x+3x=48\]\[\Rightarrow \]\[8x=48\]\[\Rightarrow \]\[x=6\] \[\therefore \]Number of boys \[=5x=5\times 6=30\] Number of girls \[=3x=3\times 6=18\] Let, G girls should be added to make the ratio of 6 : 5. According to the question, \[\frac{30}{18+G}=\frac{6x}{5x}=\frac{6}{5}\] \[\Rightarrow \]   \[(18+G)\times 6=5\times 30\]\[\Rightarrow \]\[18+G=25\] \[\Rightarrow \]   \[G=25-18=7\]\[\Rightarrow \]\[G=7\]


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