Multiple choice

A jar contains 64 liters of pure milk. Onefourth of the milk is replaced by water. Again the operation is performed. Find the final ratio of milk to water in the jar.

  1. 9:7

  2. 1:2

  3. 1:9

  4. 1:7
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A Correct answer
Explanation

Initial milk = 64. After replacing 1/4 (16L) with water twice, the remaining milk is 64 * (3/4)^2 = 64 * 9/16 = 36L. Water = 64 - 36 = 28L. Ratio of milk to water = 36:28 = 9:7.

AI explanation

Using the replacement formula, Final Quantity of original liquid = Initial Quantity * (1 - Fraction Replaced)^n. Here, one-fourth is replaced twice, so the final pure milk is 64 * (1 - 1/4)^2 = 64 * (3/4)^2 = 64 * 9/16 = 36 liters. The water becomes 64 - 36 = 28 liters, making the final ratio of milk to water 36:28, which simplifies to 9:7.

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