IBPS Government Jobs Exams Numerical Ability Alligation or Mixture

15 liters of pure water added to a vessel contating 72 liters pure milk.29 liters of the resultant mixter was then sold and some more quantity of pure milk and pure water was added to the vassel in the respective ratio of 3:1.if the resultant respective ratio of milk and water in the vessel was 9:2.what was the quantity of pure milk added in the vessel

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The answer to this question is 6 litres.
We see that ratio of milk and water is given as 24:5
out of 87 litres existing, 29 litres is sold. Remaining = 58 litres out of which now 48 is milk and 10 is water.
further milk and water are added in the ratio 3:1.
say 3x and 1x are added so resultant mixture is now in the ratio 9:2
therefore 48+3x/10+x=9/2
equate to get the answer
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