Question
A solution contains 40L of pure milk. 25% of his this is
taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of water to milk in the final solution.Solution
Quantity of milk = 40L When 25% solution is taken out = `25/100` x 40 = 10 L Remaining solution = 40 L – 10 L = 30 L Now, again 25% of solution is taken out = `25/100xx30` = 7.5 L Remaining solution = 30 L – 7.5 L = 22.5 L Now, further 25% of solution is taken out = `25/100xx22.5` = 5.625 L Remaining solution = 22.5 L – 5.625 L = 16.875 L Total quantity taken out which is replaced by water = 40 L – 16.875 L = 23.125 L Required ratio = 23.125 : 16.875 = 37:27
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