Bissoy.com
Doctors Medicines MCQs Q&A

Can 1 contains a mixture of milk and water in ratio 7 : 9 and Can 2 contains a mixture of milk and water in ratio 4 : 3. In what ratio should Can 1 and 2 be mixed to obtain a milk in the mixture as 50%?  

Can 1 contains a mixture of milk and water in ratio 7 : 9 and Can 2 contains a mixture of milk and water in ratio 4 : 3. In what ratio should Can 1 and 2 be mixed to obtain a milk in the mixture as 50%?   Correct Answer 8 : 7

Given:

Milk and Water in Can 1 = 7 : 9

Milk and Water in Can 2 = 4 : 3

In final mixture milk is 50%

Calculation:

In Can 1, 

Milk : Water = 7 : 9

⇒ Milk in the total Can 1 = 7/(7 + 9)

⇒ Milk in the total Can 1 =  7/16

In Can 2,

Milk : Water = 4 : 3 

⇒ Milk in the total Can 2 = 4/(4 + 3)

⇒ Milk in the total Can 2 =  4/7

In final milk is 50% then,

Water is final mixture is 50%

⇒ Ratio of milk and water in final mixture = 1 : 1

⇒ Milk in the final mixture = 1/(1 + 1)

⇒ Milk in the final mixture = 1/2

By mixture and allegation,

⇒ [ alt="F1 Mohd.S 10-05-21 Savita D1" src="//storage.googleapis.com/tb-img/production/21/05/F1_Mohd.S_10-05-21_Savita_D1.png" style="width: 156px; height: 193px;">

⇒ (4/7 – 1/2) : (1/2 – 7/16)

⇒ 1/14 : 1/16

⇒ 16 : 14

⇒ 8 : 7

∴ Can 1 and 2 be mixed in the ratio 8 : 7

Related Questions

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.
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.
A mixture contains milk and water in the ratio (by volume) 5 : 3 and another mixture of the same volume as that of the former, contains water and milk in the ratio (by volume) 1 : 3. In what ratio, two mixture be mixed in order to obtain a new mixture consisting of milk and water in the ratio (by volume) 7 : 3?
A milk seller bought certain quantity of pure milk. He first sold 20 litres of pure milk. He added 20 litres of water to the remaining quantity of milk. He then sold 20 litres of the milk water mixture and added 20 litres of water to the mixture. He again sold 20 litres of this milk water mixture and added 20 litres of water to the mixture. Now, the ratio of milk to water is 8 : 19. How much quantity of pure milk in litres did he buy in the first place?
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.
Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?
Study the two cases and answer in terms of relation between the two cases Case 1: Two cans are filled with the mixture of milk and water. The first can contain 72% of water and second can contains 60% of water. A new mixture is prepared by taking 9 part of first can and 6 part of second can. The percentage of milk in the new mixture is? Case 2: For testing, 80 ml of milk and water mixture is taken from a container which has 62% water by weight. If in the test tube, additional 20% water of the total water is added, then the % of milk in the test tube is?
Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture. Quantity A: Find the quantity of milk left in the container. Quantity B: Find the quantity of water left in the container. Quantity C: 35 litres.
Two glasses A and B of quantity 200 ml contains milk-water mixture in the ratio 3 ∶ 2 and 3 ∶ 7 respectively. From glass A, 50 ml of the mixture is removed and replaced with water. From glass B, 100 ml of mixture is removed and replaced with milk. If the mixture of the two glasses is mixed, what is the ratio of milk and water in the final mixture?