A) 9 : 10
B) 10 : 9
C) 9 : 19
D) 19 : 9
Correct Answer: C
Solution :
| \[\frac{A}{B}\times \frac{B}{C}=\frac{3}{4}\times \frac{6}{5}\] |
| \[\Rightarrow \] \[\frac{A}{C}=\frac{9}{10}\] |
| \[\Rightarrow \] \[\frac{C}{A}=\frac{10}{9}\] |
| \[\Rightarrow \] \[\frac{C}{A}+1=\frac{10}{9}+1\] |
| \[\Rightarrow \] \[\frac{C+A}{A}=\frac{10+9}{9}=\frac{19}{9}\] |
| \[\therefore \] \[A:(A+C)=9:19\] |
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