Question : If $A:B=3:4$ and $B:C=6:5$, then $C:A$ is
Option 1: $10:9$
Option 2: $9:10$
Option 3: $8:9$
Option 4: $9:8$
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Correct Answer: $10:9$
Solution :
Given:
$\frac{A}{B} = \frac{3}{4}$ and $\frac{B}{C} = \frac{6}{5}$
Multiplying both the equations we get,
$\frac{A}{B}\times \frac{B}{C} = \frac{3}{4}\times\frac{6}{5}$
$\frac{A}{C} = \frac{9}{10}$
⇒ $\frac{C}{A} = \frac{10}{9}$
$\therefore C: A=10:9$
Hence, the correct answer is $10:9$
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