A jar full of wine having 40% alcohol and rest is water. Some quantity of wine taken out and replaced by some another wine containing 24% alcohol. Now the mixture contains 30% alcohol. Find what part of wine was taken out from bottle.

\(\frac{5}{8}\)

 Using Allegation Method:

                  M₁         :           M₂

⇒ Qty :        3          :              5

∴ \(\frac{5}{8}\) of wine was taken from bottle