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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
    Divide Rs. 900 among X, Y and 7 so that Rs. 40 more that \[\frac{2}{5}\text{th}\] of X's share, Rs. 20 more than \[\frac{2}{7}\text{th}\]of Y's share and Rs. 10 more than\[\frac{9}{17}\text{th}\] of Y?s share may all be equal. What is X's share?

    A)  Rs.  270                       

    B)  Rs. 245.05

    C)  Rs. 254.05                   

    D)  Rs. 245.50

    Correct Answer: B

    Solution :

    \[\frac{2}{5}x+40=\frac{2}{7}y+20=\frac{9}{17}z+10=a\]
    \[\therefore \]      \[x=\frac{5}{2}\,\,(a-40)x,\]\[y=\frac{7}{2}\,\,(a-20)\]
    and       \[z=\frac{17}{9}(a-10)\]
    \[\therefore \]\[\frac{5}{2}(a-40)+\frac{7}{2}\,\,(a-20)+\frac{17}{9}\,\,(a-10)=900\]
    \[\Rightarrow \]\[45a-1800+63a-1260+34a-340=16200\]
    \[\Rightarrow \]   \[142a=16200+3400\]
    \[a=\frac{19600}{142}=138.02\]
    \[\therefore \] X?s share \[=\frac{5}{2}(138.02-40)=\frac{5}{2}\times 98.02\]
    = Rs. 245.05
    = Rs. 245.05


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