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  5. Ratio and Proportion

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

  • question_answer
    The ratio of the sum of two numbers and their difference is 5 : 1. The ratio of the greater number to the smaller number is

    A) 2 : 3

    B) 3 : 2

    C) 5 : 1

    D) 1 : 5

    Correct Answer: B

    Solution :

    [b] Let the greater and smaller be a and b, respectively \[\frac{a+b}{a-b}=\frac{5}{1}\] Applying componendo and dividendo rule, we get             \[\frac{(a+b)+(a-b)}{(a+b)-(a-b)}=\frac{5+1}{5-1}\] \[\Rightarrow \]   \[\frac{2a}{2b}=\frac{6}{4}\]\[\Rightarrow \]\[a:b=3:2\]


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