SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    A man spend \[7\frac{1}{2}%\] of his money and after spending 75% of the remaining, he had Rs. 370 left. How much money did he have [SSC CGL Tier II, 2017]

    A) 1200

    B) 1600

    C) 1500

    D) 1400

    Correct Answer: B

    Solution :

    [b] Let, total money of man have = Rs. x Money he spend \[=7\frac{1}{2}%=\frac{15}{2}%\] \[\therefore \] Rest money he has \[=x-x\times \frac{15}{2}\times \frac{1}{100}=\text{Rs}.\,\,\frac{185x}{200}\] Now, according to the questions, \[\frac{185x}{200}-\frac{185x}{200}\times \frac{75}{100}=370\]             \[\Rightarrow \]   \[\frac{185x}{200}\left( 1-\frac{75}{100} \right)=370\]             \[\Rightarrow \]   \[\frac{185x}{200}\times \frac{25}{100}=370\]             \[\Rightarrow \]   \[\frac{185x}{200}\times \frac{1}{4}=370\]             \[\Rightarrow \]   \[x=\frac{370\times 4\times 200}{185}\]\[\Rightarrow \]\[x=\text{Rs}\text{.}\,\,1600\]


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