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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:
- a)79 : 21
- b)83 : 17
- c)77 : 23
- d)81 : 19
- e)77 : 79
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two vessels A and B of equal capacities contain mixtures of milk and ...
Consider 40 Liters in both vessels.
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A has 32 liters of Milk, 8 liters of water
B has 30 liters of Mils, 10 liters of water
25% of A has 8 liters of Milk, 2 liters of water
B now has 38 liters of Milk and 12 liters of water.
Now 10 liters of B 38/5 = 7.6 liters of milk and 2.4 liters of water
A will have 24 + 7.6 = 31.6 liters of Milk, 6+2.4 = 8.4 liters of water.
Ratio = 31.6:8.4 = 316:84 = 79:21
Most Upvoted Answer
Two vessels A and B of equal capacities contain mixtures of milk and ...
Given Information:
- The ratio of milk and water in vessel A is 4:1.
- The ratio of milk and water in vessel B is 3:1.
- 25% of the mixture from vessel A is taken out and added to vessel B.
- An equal amount is taken out from vessel B and added back to vessel A.
To Find:
- The ratio of milk to water in vessel A after the second operation.
Solution:
Step 1: Assume the initial quantity of mixture in vessel A and vessel B to be 4x and 3x, respectively.
Step 2: After mixing, the quantity of mixture in vessel B becomes (3x + x) = 4x.
Step 3: The quantity of mixture taken from vessel A = 25% of 4x = x.
Step 4: The quantity of mixture in vessel A after the first operation = 4x - x = 3x.
Step 5: The quantity of mixture taken from vessel B = x.
Step 6: The quantity of mixture in vessel B after the second operation = 4x - x = 3x.
Step 7: The quantity of mixture added back to vessel A = x.
Step 8: The quantity of mixture in vessel A after the second operation = 3x + x = 4x.
Step 9: Let the quantity of milk in vessel A after the second operation be 4y and the quantity of water be y.
Step 10: The quantity of milk in vessel B after the second operation is 3/4 * 4x = 3x and the quantity of water is x.
Step 11: The quantity of milk in the mixture taken from vessel A = (4/5)*4y = 16y/5.
Step 12: The quantity of milk in the mixture added back to vessel A = (1/2)*3x = 3x/2.
Step 13: The total quantity of milk in vessel A after the second operation = 4y + 16y/5 - 3x/2.
Step 14: The total quantity of water in vessel A after the second operation = y + x - x/2 = (3/2)y.
Step 15: The ratio of milk to water in vessel A after the second operation = (4y + 16y/5 - 3x/2) : (3/2)y.
Step 16: Equating the quantity of mixture in vessel A before and after the operations, we get:
4x = 4y + (16/5)y - (3/2)x
Step 17: Simplifying the above equation, we get:
y/x = 1/5
Step 18: Substituting the value of y/x in the ratio obtained in step 15, we get:
(16 + 16/5 - 3/2) : (3/2) = 79 : 21
Therefore, the ratio of milk to water in vessel A after the second operation is 79 : 21.
Answer: (a) 79 : 21
- The ratio of milk and water in vessel A is 4:1.
- The ratio of milk and water in vessel B is 3:1.
- 25% of the mixture from vessel A is taken out and added to vessel B.
- An equal amount is taken out from vessel B and added back to vessel A.
To Find:
- The ratio of milk to water in vessel A after the second operation.
Solution:
Step 1: Assume the initial quantity of mixture in vessel A and vessel B to be 4x and 3x, respectively.
Step 2: After mixing, the quantity of mixture in vessel B becomes (3x + x) = 4x.
Step 3: The quantity of mixture taken from vessel A = 25% of 4x = x.
Step 4: The quantity of mixture in vessel A after the first operation = 4x - x = 3x.
Step 5: The quantity of mixture taken from vessel B = x.
Step 6: The quantity of mixture in vessel B after the second operation = 4x - x = 3x.
Step 7: The quantity of mixture added back to vessel A = x.
Step 8: The quantity of mixture in vessel A after the second operation = 3x + x = 4x.
Step 9: Let the quantity of milk in vessel A after the second operation be 4y and the quantity of water be y.
Step 10: The quantity of milk in vessel B after the second operation is 3/4 * 4x = 3x and the quantity of water is x.
Step 11: The quantity of milk in the mixture taken from vessel A = (4/5)*4y = 16y/5.
Step 12: The quantity of milk in the mixture added back to vessel A = (1/2)*3x = 3x/2.
Step 13: The total quantity of milk in vessel A after the second operation = 4y + 16y/5 - 3x/2.
Step 14: The total quantity of water in vessel A after the second operation = y + x - x/2 = (3/2)y.
Step 15: The ratio of milk to water in vessel A after the second operation = (4y + 16y/5 - 3x/2) : (3/2)y.
Step 16: Equating the quantity of mixture in vessel A before and after the operations, we get:
4x = 4y + (16/5)y - (3/2)x
Step 17: Simplifying the above equation, we get:
y/x = 1/5
Step 18: Substituting the value of y/x in the ratio obtained in step 15, we get:
(16 + 16/5 - 3/2) : (3/2) = 79 : 21
Therefore, the ratio of milk to water in vessel A after the second operation is 79 : 21.
Answer: (a) 79 : 21
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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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer?
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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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer?.
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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer?.
Solutions for 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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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ample number of questions to practice 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:a) 79 : 21b) 83 : 17c) 77 : 23d) 81 : 19e) 77 : 79Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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