Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Select the correct option.
A) 31:1	B) 31:4	C) 31:8	D) 31:9	E) 31:2
Quantity of alcohol in vessel P = 62.5/100 * 4 = 5/2 litres   Quantity of alcohol in vessel Q = 87.5/100 * 6 = 21/4 litres   Quantity of alcohol in the mixture formed = 5/2 + 21/4 = 31/4= 
<gadget id="calculator">31/4</gadget>
<output>31/4 = around 7.75</output>
7.75 litres   As 10 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 7.75 : 2.25 = 31:9.   Answer: 31:9
<result>D</result>
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?