SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    From the salary of a worker, 10% is deducted as house rent, 15% of the rest he spends on children's education and 10% of the balance, he spends on clothes. After this expenditure, he is left with Rs. 1377. His salary is

    A) Rs. 2000

    B) Rs. 2040

    C) Rs. 2100

    D) Rs. 2200

    Correct Answer: A

    Solution :

    [a] Suppose his salary of Rs. x. House rent \[=\text{Rs}\text{.}\,\,\left( \frac{10}{100}\times x \right)=\text{Rs}\text{.}\frac{x}{10}\] Balance \[=\text{Rs}.\,\,\left( x-\frac{x}{10} \right)=\text{Rs}.\frac{9x}{10}.\] Expenditure on education \[=\text{Rs}\text{.}\left( \frac{15}{100}\times \frac{9x}{10} \right)=\text{Rs}.\frac{27x}{200}\] Balance \[=\text{Rs}.\left( \frac{9x}{10}-\frac{27x}{200} \right)=\text{Rs}.\frac{153x}{200}\] Expenditure on clothes \[=\text{Rs}\text{.}\left( \frac{10}{100}\times \frac{153x}{200} \right)=\text{Rs}.\frac{153}{2000}\] Money left \[=Rs.\,\,\left( \frac{153x}{200}-\frac{153}{200} \right)\]                         \[=\text{Rs}.\frac{1377x}{2000}\] \[\therefore \] \[\frac{1377x}{2000}=1377\]\[\Rightarrow \]\[x=2000\] His salary is Rs. 2000.


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