AFrom 90 litres of pure milk, 9 litres is withdrawn and...

AFrom 90 litres of pure milk, 9 litres is withdrawn and replaced by water. 9 litres of the mixture is then withdrawn and replaced by water. Find the ratio of milk and water in the present mixture
(A) $19: 81$
(B) $19: 100$
(C) $81: 19$
(D) $81: 100$

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Key Concepts

Successive Dilution

Successive dilution refers to the process where a mixture undergoes repeated removal of a portion and then replacement with another substance. Each step further dilutes the concentration of the original substance, and the cumulative effect must be calculated by considering the fractional change at every step.

Ratios and Proportions

Ratios and proportions are fundamental in mixture problems as they express the relationship between the quantities of different components in a mixture. Understanding how to manipulate and calculate these ratios is crucial for determining the final composition after various operations such as removal and replacement.

Mixture and Solution Problems

This concept deals with problems that involve combining or modifying substances to alter their concentration or composition. It includes understanding how the proportions of different components change with operations like mixing, diluting, or replacing parts of the mixture.

Replacement Method in Mixtures

The replacement method is used when a portion of a mixture is removed and replaced with another substance, affecting the overall concentration. This method requires careful calculation of the remaining quantity of each component after each replacement step.

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