Knowee
Questions
Features
Study Tools

Two vessels, A and B, have the same capacity and initially contain milk and water in the ratios of 5 : 1 and 3 : 1, respectively. First, 25% of the mixture from vessel A is removed and poured into vessel B. After thoroughly mixing the contents of vessel B, the same quantity is taken out and added back to vessel A. What is the ratio of milk to water in vessel A after this second transfer?1)  7 : 32)  77 : 233)  49 : 114)  81 : 19

Question

Two vessels, A and B, have the same capacity and initially contain milk and water in the ratios of 5 : 1 and 3 : 1, respectively. First, 25% of the mixture from vessel A is removed and poured into vessel B. After thoroughly mixing the contents of vessel B, the same quantity is taken out and added back to vessel A. What is the ratio of milk to water in vessel A after this second transfer?1)  7 : 32)  77 : 233)  49 : 114)  81 : 19

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's assume the capacity of each vessel is 1 unit for simplicity.

In vessel A, the ratio of milk to water is 5:1. So, in 1 unit, there is 5/6 unit of milk and 1/6 unit of water.

In vessel B, the ratio of milk to water is 3:1. So, in 1 unit, there is 3/4 unit of milk and 1/4 unit of water.

First, 25% of the mixture from vessel A is removed and poured into vessel B. So, 0.25 unit is removed from A, which contains 0.25*(5/6) = 5/24 unit of milk and 0.25*(1/6) = 1/24 unit of water.

After this transfer, vessel A has (5/6 - 5/24) = 15/24 unit of milk and (1/6 - 1/24) = 3/24 unit of water.

Vessel B now has (3/4 + 5/24) = 23/24 unit of milk and (1/4 + 1/24) = 7/24 unit of water.

Then, 25% of the mixture from vessel B is removed and added back to vessel A. So, 0.25 unit is removed from B, which contains 0.25*(23/24) = 23/96 unit of milk and 0.25*(7/24) = 7/96 unit of water.

After this second transfer, vessel A has (15/24 + 23/96) = 77/96 unit of milk and (3/24 + 7/96) = 23/96 unit of water.

So, the ratio of milk to water in vessel A after this second transfer is 77:23.

Therefore, the answer is 2) 77 : 23.

This problem has been solved

Similar Questions

Two vessels A and B contain a mixture of Milk and Water. In the first vessel (i.e) Vessel A has the ratio of Milk to water is 8 : 3 and in the second vessel, Vessel B has the ratio of 5 : 1. A 35 litre capacity vessel is filled from these two vessels so as to contain a mixture of Milk and water in ratio of 4 : 1. Then how many litres should be taken from the first vessel, Vessel “A”.

Three vessels whose capacities are in the ratio of 3: 2: 1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5: 2, 4: 1 and 4: 1 respectively. Taking 1/3 of first, 1/2 of second and 1/7 of third mixtures, a new mixture kept in new vessel is prepared. The percentage of water in the new mixture is

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.Options :7:34:32:31:3

The milk & water in two vessels A & B are in the ratio 4:3 & 2:3 resp. In what ratio, the liquids in both the vessels are mixed to obtain a new mixture in vessel C containing half milk & half water?Options :7:57:95:93:7

A vessel contains a mixture of milk and water in the respective ratio of 5 : 1. 18 liters of mixture was taken out and replaced with the same quantity of milk so that the resultant ratio between the quantities of milk and water in the mixture becomes 7 : 1 respectively. If 28 liters of the mixture is again taken out from the vessel, what is the quantity (in liters) of water that should be added to make the quantity of milk 70% in the mixture

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.