Question

Two vessels A and B of equal capacities contain mixtures of milk and water in the ratios 4: 1 and 3:1, respectively. 25% of the mixture from A is taken out and added to B. After mixing it thoroughly, an equal amount is taken out from B and added back to A. The ratio of milk to water in vessel A after the second operation is:

Answer 1

5x-1/4-->1

Answer 2

20x-1/4

Answer 3

4x+(20x-1)/4-->2

Answer 4

36x-1/4

Answer 5

Are there any answer choices?

Answer 6

yes

Answer 7

Can you share them?

Answer 8

79 : 21
83 : 1
77 : 23
81 : 19

Answer 9

Two vessels A and B of equal capacities contain mixtures of milk and water in the ratios 4: 1 and 3:1.

Let's assume that each vessel is 100 litres:
So for the 4:1 ratio it would be:
Milk = 80 and water = 20
For the ration 3:1 it would be:
Milk = 75 , water = 25

25% of the mixture from A is taken out and added to B. After mixing it thoroughly, an equal amount is taken out from B and added back to A.

The ratio of milk to water in vessel A after the second operation is:

25 litres from A
Would leave us remaining with 60 milk and water = 15
Vessel B would now have milk = 95 and water = 30

Ratio in B = 19:6

25 litres from B is transferred from B to A.
So milk in A = 60 + 19 = 79 and water = 15 + 6 = 21
Ratio = 79:21