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SSC Sample Paper SSC CGL - Sample Paper-22

  • question_answer
    A person gave 20% of his income to his elder son, 30% of remaining to the younger son and 10% of the balance he donated to trust. He is left with Rs. 10080. His income was

    A) Rs. 50000                     

    B) Rs. 40000

    C) Rs. 30000                     

    D) Rs. 20000

    Correct Answer: D

    Solution :

    Let the income of person \[=Rs.\,x\] Remaining money after giving 20% to his elder son             \[=Rs.\frac{x\times 80}{100}=Rs.\frac{4x}{5}\] Remaining money after giving 30% to his younger son             \[=Rs.\frac{4x}{5}\times \frac{70}{100}=Rs.\frac{14}{25}x\] and remaining money after giving 10% to a trust             \[=Rs.\frac{14x}{25}\times \frac{90}{100}=Rs.\frac{63}{125}x\] But according to question, Remaining money \[=Rs.10080\] \[\therefore \]      \[10080=\frac{63}{1250}x\] \[\Rightarrow \]   \[x=\frac{10080\times 125}{63}=20000\] \[\therefore \] Income of person \[=Rs.\,20000.\]


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