If A : B = 3 : 2 and B : C = 3 : 4, then A : C is:
Answer & explanation
Correct answer: option 3
A : B = 3 : 2 and B : C = 3 : 4
2A = 3B ⇒ B = 2\(\frac{A}{3}\)
4B = 3C ⇒ 4(2\(\frac{A}{3}\)) = 3C
8\(\frac{A}{3}\) = 3C
\(\frac{A}{C}\) = \(\frac{9}{8}\)
The correct answer is Option (3) → 9 : 8