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Jar A comprises a mixture of milk and water in the ratio of 3 : 2 respectively. Another mixture of milk and water is added to jar A and the ratio of milk and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar A? I. The ratio of milk and water in the mixture that was added to Jar A was 2 : 1 respectively. II. The ratio of the new quantities of milk and water in Jar A was 8 : 5 respectively. The quantity of water in the mixture added to jar A was 6 litre.

Jar A comprises a mixture of milk and water in the ratio of 3 : 2 respectively. Another mixture of milk and water is added to jar A and the ratio of milk and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar A? I. The ratio of milk and water in the mixture that was added to Jar A was 2 : 1 respectively. II. The ratio of the new quantities of milk and water in Jar A was 8 : 5 respectively. The quantity of water in the mixture added to jar A was 6 litre. Correct Answer The data in both the statements I and II together are necessary to answer the question.

Calculation:

Let the initial quantity of milk and water be 3x and 2x respectively

From statement I and II,

Let the quantity of milk and water in mixture that was added be 2y and y respectively

(3x + 2y) / (2x + y) = 8/5

⇒ 15x + 10y = 16x + 8y

⇒ x = 2y

∵ y = 6

⇒ x = 12

Initial quantity of mixture = 5 × 12 = 60 litres

∴ The data in both the statements I and II together are necessary to answer the question.

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