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SSC Sample Paper SSC (Group-C) Sample Test Paper-5

  • question_answer
    The annual incomes of two persons are in the ratio \[9:7\] and their expenses are in the ratio\[4:3\]. If each of them saves Rs. 2,000 per year, what is the difference in their annual incomes?

    A)  Rs. 4.000

    B)  Rs. 4.500

    C)  Rs. 5,000

    D)  Rs. 5,500

    Correct Answer: A

    Solution :

     Annual incomes = Rs. 9x and Rs. 7x Their expenses = Rs. 4y and Rs.3y According to the question, \[9x-4y=2000\] .... (i) \[7x-3y=2000\] ....(ii) \[\therefore \]   \[9x-4y=7x-3y\] \[\Rightarrow \] \[9x-7x=4y-3y\] \[\Rightarrow \] \[2x=y\] From equation (i), \[9x-8x=2000\] \[\Rightarrow \]    \[x=Rs.\,\,2000\] \[\therefore \]  Difference In annual Incomes \[=Rs.\,\,(9x-7x)=2x=Rs.\,4000\]


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