A) 8 : 15 : 12
B) 8 : 40 : 36
C) 16 : 15 : 36
D) 40 : 15 : 36
Correct Answer: D
Solution :
\[\frac{A}{B}=\frac{8}{3},\,\frac{B}{C}\,=\frac{5}{12}\] \[A=\frac{8}{3}B,\,B=\frac{5}{12}C\] \[A=\frac{{{\bcancel{8}}^{2}}}{3}\,\times \frac{5}{\begin{align} & \bcancel{12} \\ & 3 \\ \end{align}},\,C=\frac{10}{9}C\] \[A:B:C=\frac{10}{9}C:\frac{5}{12}\,C:C\] \[A:B:\,C\,=\frac{10}{9}:\frac{5}{12}:1\] \[A:B:\,C\] \[=\frac{720}{9\times 10}:\frac{720}{12\times 10}\,:\frac{720}{10}=40:15:36\]
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