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SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    The monthly incomes of two persons are in the ratio 2 : 3 and their monthly expenses are in the ratio 5 : 8 If each of them saves ? 600 per month, then their monthly incomes are

    A) Rs. 1500, Rs. 2250

    B)  Rs. 1200, Rs. 1800

    C)  Rs. 1600, Rs. 2400

    D)  Rs. 1400, Rs. 2100

    Correct Answer: C

    Solution :

    Let the income of two persons (A and B) be Rs. 2x and Rs. 3x, respectively. Again let the expenditures of A and B be Rs. 5y and Rs. 9y, respectively. \[\therefore \]      \[2x-5y=600\]                            ...(i) \[3x-9y=600\]                            ...(ii) From Eqs. (i) and (ii), we get \[2x-5y=3x-9y\] \[\Rightarrow \]               \[x=4y\] From Eq. (i), we get \[2\times 4y-5y=600\]             \[\Rightarrow \]   \[3y=600\]             \[\Rightarrow \]   \[y=200\] \[\therefore \]      \[x=4\times 200=800\] \[\therefore \]      A's income \[=2x=2\times 800\]= Rs. 1600 B' s income \[=3x=3\times 800=\] Rs. 2400


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