The ratio of spirit and water in solutions in vessels A and B are 3 : 4 and 5: 9, respectively. The contents of A and B are mixed in the ratio 2 : 3. What is the ratio of water and spirit in the resulting solution?

43 : 27

Here,

⇒ 2 x \(\frac{3}{7}\) + 3 x \(\frac{5}{14}\) : 2 x \(\frac{4}{7}\) + 3 x \(\frac{9}{14}\)

⇒ \(\frac{6}{7}\) + \(\frac{15}{14}\) : \(\frac{8}{7}\) + \(\frac{27}{14}\)

⇒ 27 : 43