A mixture of milk and water contains 25 water 12 litres of this mixture is drawn out and replaced wi...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?

82 litres

75 litres

95 litres

84 litres

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Explanation:

Milk : water = 75% : 25% = 3 : 1
Total = 3x+x+12 = 4x+12
So (x+5)/3x = 2/5
Solve, x = 25
So total = 4*25 + 12 = 112 litres
So originally milk = 3/(3+1) * 112 = 84