Multiple choice

A Jar contains 30 liters mixture of Milk and Water in the ratio of x:y respectively. When 10 liter of the mixture is taken out and replaced it water, then the ratio becomes 2:3. Then what is the initial quantity of Milk in the Jar?

  1. 12 litres

  2. 15 litres

  3. 18 litres

  4. 20 litres

  5. 16 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial 30L, ratio x:y. After removing 10L, 20L remains. Replacing with 10L water means 20L mixture + 10L water = 30L. Final ratio M:W = 2:3. So Milk = (2/5)*30 = 12L. This 12L was in the 20L remaining mixture. Before removing 10L, the ratio was the same. In 30L, Milk = (12/20)*30 = 18L.

AI explanation

After replacement, the 20 liters of mixture left in the jar contains milk and water in a 2:3 ratio, meaning there are 8 liters of milk remaining. Since 10 liters of the original mixture was removed, 20 liters of the original mixture is still in the jar, meaning the original 30 liters had exactly 1.5 times the milk currently left. Multiplying 8 liters by 1.5 gives the initial quantity of milk as 18 litres.

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