Two mixtures P and Q are in the ratio of 3 : 2 respectively. Mixture P contains x% of alcohol and a% of water. Mixture Q contains y% of alcohol and b% of water. If mixture Q is mixed with mixture P then, the final quantity of alcohol becomes 23% of the total mixture. If the X + Y = 40 liters, then

Which of the following statement(s) is correct?

I) (X - Y) = 30

II) if the Initial quantity of mixture P is 90 liters then, the total quantity of both mixtures is 105 liters

III) If 15 liters mixture is taken out from mixture P and then replaced with the same amount of water then the ratio of alcohol and water is 56 : 112 respectively