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Two pots contain a mixture of milk and water. In the first pot, ratio between milk and water is 4 : 1 and in second pot, the ratio between the milk and water is 1 : 3. In third pot, this two mixtures are mixed to formed 22 lit mixture of milk and water in which ratio between the milk and water is 7 : 3. Find the difference between the quantity of mixture taken from first pot and second pot.

Two pots contain a mixture of milk and water. In the first pot, ratio between milk and water is 4 : 1 and in second pot, the ratio between the milk and water is 1 : 3. In third pot, this two mixtures are mixed to formed 22 lit mixture of milk and water in which ratio between the milk and water is 7 : 3. Find the difference between the quantity of mixture taken from first pot and second pot. Correct Answer 14 litres

Calculation:

Quantity of milk present in first pot = 4/5

Quantity of milk present in second pot = 1/4

Quantity of milk present in third pot = 7/10

Using rule of alligation,

Mixture in first pot : Mixture in second pot = (7/10 - 1/4) : (4/5 - 7/10) = 9 : 2

Quantity of mixture taken from first pot = 9/11 × 22 = 18 litres

Quantity of mixture taken from second pot = 2/11 × 22 = 4 litres

∴ Required difference = 18 - 4 = 14 litres.

Important Points

Use alligation rule and consider milk to whole mixture or water to whole mixture.

Related Questions

The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. The percentage of milk in three mixtures A, B, and C is 60%, 75%, and 80% respectively. Find the quantity of water in the resultant mixture. I)  All three mixtures A, B and C are mixed in the ratio of 1 : 3 : 2 respectively. II) Quantity of resultant mixture of three mixtures is 60 liters. III) The ratio of water quantity in three mixtures is 8 : 15 : 24.
Statements : Some pots are keys. Some keys are locks. All keys are rings.

Conclusions :
I. Some pots are locks.
II. Some pots are not locks.
III. Some pots are rings.
IV. Some pots are not rings.
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