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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-10

  • question_answer
    By mistake, Instead of dividing Rs. 117 among A, B and C in the ratio \[\frac{1}{2},\frac{1}{3},\frac{1}{4}\] it was divided in the ratio of \[2:3\text{ : }4\], Who gains the most and by how much?

    A) A, Rs. 28            

    B) B, Rs. 3

    C) C, Rs. 20                      

    D) C, Rs. 25

    Correct Answer: D

    Solution :

    Orginal ratio of A, B and C          \[=\frac{1}{2}:\frac{1}{3}:\frac{1}{4}=6:4:3\] \[\therefore \] Share of A \[=\frac{6}{13}\times 117=\,Rs.54\] Share of B \[=\frac{4}{13}\times 117=\,Rs.\,\,36\] and share of C \[=\frac{3}{13}\times 117=\,Rs.\,\,27\] The ratio of A, B and C by mistake \[=2:3:4\] \[\therefore \]Share of \[A=\frac{2}{9}\times 117=Rs.26\] Share of \[B=\frac{3}{9}\times 117=Rs.\,39\] Share of \[C=\frac{4}{9}\times 117=Rs.\,52\] Therefore, it is clear from above calculation that C gains maximum i.e. Rs. 25


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