6th Class Mathematics Arithmetic Question Bank Arithmetic

  • question_answer The salaries of A and B are in the ratio 8 : 3. The salaries of B and C are in the ratio 5:12. Salaries of A, B and C in the form of a ratio is

    A) 8 : 15 : 12     

    B)          8 : 40 : 36

    C) 16 : 15 : 36    

    D)          40 : 15 : 36

    Correct Answer: D

    Solution :

     \[\frac{A}{B}=\frac{8}{3},\,\frac{B}{C}\,=\frac{5}{12}\] \[A=\frac{8}{3}B,\,B=\frac{5}{12}C\] \[A=\frac{{{\bcancel{8}}^{2}}}{3}\,\times \frac{5}{\begin{align}   & \bcancel{12} \\  & 3 \\ \end{align}},\,C=\frac{10}{9}C\] \[A:B:C=\frac{10}{9}C:\frac{5}{12}\,C:C\] \[A:B:\,C\,=\frac{10}{9}:\frac{5}{12}:1\] \[A:B:\,C\] \[=\frac{720}{9\times 10}:\frac{720}{12\times 10}\,:\frac{720}{10}=40:15:36\]


You need to login to perform this action.
You will be redirected in 3 sec spinner