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  5. Ratio and Proportion

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

  • question_answer
    The ratio between two numbers is 3 : 4. If each number is increased by 3, the ratio becomes 4 : 5. Find the difference between the numbers.

    A) 3

    B) 9

    C) 2

    D) 7

    Correct Answer: A

    Solution :

    [a] Let the numbers be 3x and 4x. According to the questions,                         \[\frac{3x+3}{4x+3}=\frac{4}{5}\] \[\Rightarrow \]   \[5\,(3x+3)=4\,(4x+3)\] \[\Rightarrow \]   \[15x+15=16x+12\] \[\therefore \]      \[x=15-12=3\] \[\therefore \]Difference between the numbers \[=(4x-3x)\]\[\Rightarrow \]\[x=3\]


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