Railways Mathematics Ratio Proportion and Partnership Sample Paper Ratio, Proportion & Partnership Sample Test Paper-6

  • question_answer If \[(a+b):(b+c):(c+a)=6:7:8\] and \[a+b+c=14,\] then the value of ?c? is

    A)  8                    

    B)  7        

    C)  6        

    D)  12

    Correct Answer: C

    Solution :

    [c] Let the ratio be k \[\therefore \] \[a+b=6k,\,\,b+c=7k,\,\,c+a=8k\] \[\Rightarrow \] \[(a+b)+(b+c)+(c+a)=6k+7k+8k\] \[\Rightarrow \] \[2(a+b+c)=21k\] \[\Rightarrow \] \[k=\frac{2\times 14}{21}=\frac{4}{3}\] \[\therefore \] \[c=(a+b+c)-(a+b)\] \[=14-6\times \frac{4}{3}\] =14 ? 8 = 6

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