SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    A bucket contains 2 L more water when it is filled 80% in comparison when it is filled \[66\frac{2}{3}%.\]\[66\frac{2}{3}%.\] What is the capacity of the bucket?

    A) \[10\,\,\text{L}\]

    B) \[15\,\,\text{L}\]

    C) \[66\frac{2}{3}\text{L}\]

    D) \[20\,\,\text{L}\]

    Correct Answer: B

    Solution :

    [b] Let the capacity of the bucket be x L. (80% of x) \[-\left( \frac{200}{3}%\,\,of\,\,x \right)=2\] \[\Rightarrow \]   \[\left( \frac{80}{100}\times x \right)-\left( \frac{200}{3\times 100}\times x \right)=2\] \[\Rightarrow \]                           \[\frac{4x}{5}-\frac{2x}{3}=2\] \[\Rightarrow \]                           \[(12x-10x)=30\] \[\Rightarrow \]                           2x = 30 \[\Rightarrow \]                           \[x=15\,\,\text{L}\]


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