• # 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

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