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  5. Ratio and Proportion

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

  • question_answer
    From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the number?

    A) 5 : 2

    B) 1 : 4

    C) 4 : 1

    D) 4 : 5

    Correct Answer: A

    Solution :

    [a] Let the smaller number \[=x\] and the greater number \[=y.\] According to the question, \[\left( y-\frac{x}{2} \right)=4\left( x-\frac{x}{2} \right)\] \[\Rightarrow \]   \[y-\frac{x}{2}=4\frac{x}{2}\]\[\Rightarrow \]\[y=2x+\frac{x}{2}\] \[\Rightarrow \]   \[y=\frac{5x}{2}\]\[\therefore \]\[y:x=5:2\]


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