Multiple choice

A mixture of milk and water contains 60% milk. If 20% ofthe mixture is taken out, then the quantity of water in theresultant mixture becomes 48 litres. Find the initial quantityof mixture

  1. 120 litres

  2. 150 litres

  3. 100 litres

  4. 180 litres

  5. 200 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial mixture: 60% milk, 40% water. Removing 20% of the mixture leaves 80% of the original volume. Water remaining = 0.8 * (0.4 * Total) = 48. 0.32 * Total = 48. Total = 48 / 0.32 = 150 litres.

AI explanation

If 20% of the mixture is taken out, 80% remains, which means the quantity of water is also multiplied by 0.8. The initial mixture is 40% water because it contains 60% milk, so the final 48 litres of water represents 80% of the initial 40% water. To find the initial total quantity, calculate 48 divided by 0.32, which equals 150 litres.

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