Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 6 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?  Choose the correct choice from the following choices:
A) 19 : 2 B) 18 : 3 C) 29 : 11 D) 29 : 5 E) 29 : 4

Rationale: "quantity of alcohol in vessel p = 62.5 / 100 * 6 = 15 / 4 litres quantity of alcohol in vessel q = 87.5 / 100 * 4 = 7 / 2 litres quantity of alcohol in the mixture formed = 15 / 4 + 7 / 2 = 29 / 4 = 7.25 litres as 10 litres of mixture is formed , ratio of alcohol and water in the mixture formed = 7.25 : 2.75 = 29 : 11 . answer : c"
Answer: C