Multiple choice

Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask.

  1. 25%

  2. 45%

  3. 35%

  4. 32%

  5. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Jar 1 (3L) has 25% milk (0.75L milk). Jar 2 (5L) has 25% water, so 75% milk (3.75L milk). Total milk is 0.75 + 3.75 = 4.5L. The total volume in the 10L cask is 3L + 5L = 8L of mixture plus 2L of added water, totaling 10L. The percentage of milk is (4.5 / 10) * 100 = 45%.

AI explanation

The 3-litre jar contains 25% milk, which is 0.75 litres of milk. The 5-litre jar contains 75% milk, yielding 3.75 litres of milk. The total milk emptied into the 10-litre cask is 4.5 litres, so the percentage of milk in the cask is 4.5 divided by 10 multiplied by 100, which equals 45%.

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