Bissoy.com
Doctors Medicines MCQs Q&A

The ratio of milk to water in jar I is 3 ∶ 4. The jar II also contains mixture of milk and water. When this two mixtures and mixed in ratio of 2 ∶ 1, then ratio of milk and water in resultant mixture is 3 ∶ 5. Find the ratio of water and mixture in jar II.

The ratio of milk to water in jar I is 3 ∶ 4. The jar II also contains mixture of milk and water. When this two mixtures and mixed in ratio of 2 ∶ 1, then ratio of milk and water in resultant mixture is 3 ∶ 5. Find the ratio of water and mixture in jar II. Correct Answer 41 ∶ 56

Calculation:

Let quantity of milk in jar I = 3/7

Let the quantity of milk in jar II be a litres.

Quantity of milk in resultant mixture = 3/8

Using rule of alligation,

⇒ 2 ∶ 1 = (3/8 - a) ∶ (3/7 - 3/8)

⇒ 3/28 = 3/8 - a

⇒ a = 15/56

Ratio of milk to mixture in Jar II = 15 ∶ 56

∴ Ratio of water to mixture in jar II = (56 - 15) ∶ 56 = 41 ∶ 56

Important Points

Apply mixture alligation rule considering milk to whole mixture or water to whole mixture.

Related Questions

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.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
First vessel contains mixture of milk and water in ratio of 1 ∶ 3. Second vessel contains mixture of milk and water in ratio of 4 ∶ 5. When this mixtures are mixed then ratio of milk and water in resultant mixture is 11 ∶ 19. Find the quantity of mixture mixed from First vessel if resultant mixture is of 60 litres.
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.
Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?
There are two mixtures of alcohol and water. In 48 L of the first mixture 32 L is alcohol while in 32 L of the second mixture 20 L is alcohol. If these mixtures are mixed in a large container in such a way that per cent of water in the final mixture becomes 36.8%, then find that in what ratio these two mixtures are mixed to form the final mixture?
In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form a new mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?
In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?
In mixture A of milk and water, milk is 40 liters more than water in it and quantity of milk and water in mixture B of milk and water is same. Mixtures A and B are mixed in the ratio 5 ∶ 3 to form mixture C in which milk becomes three times of quantity of water, then what is the difference between milk and water in mixture C?
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.