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.Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.
(A)11:3
(B) 3:11
(C) 8:11
(D) None?
(A)11:3
(B) 3:11
(C) 8:11
(D) None?
Most Upvoted Answer
.Two vessels contain equal quantity of mixture of milk and water in th...
Understanding the Problem:
The problem states that two vessels contain equal quantities of mixtures of milk and water in the ratios 5:2 and 6:1. We need to find the new ratio of water and milk in the big vessel after mixing both the mixtures.
Given Ratios:
- Ratio of milk to water in the first vessel = 5:2
- Ratio of milk to water in the second vessel = 6:1
Calculations:
Let's assume the quantities of the mixtures in the big vessel are 5x:2x and 6y:y respectively.
- Quantity of milk in the big vessel = 5x + 6y
- Quantity of water in the big vessel = 2x + y
To find the new ratio of water and milk in the big vessel, we need to add the quantities of milk and water from both vessels:
- Total quantity of milk = 5x + 6y
- Total quantity of water = 2x + y
Now, we need to find the ratio of water to milk in the big vessel by dividing the total quantity of water by the total quantity of milk:
- Ratio of water to milk = (2x + y) / (5x + 6y)
Solving the Ratios:
To find the new ratio, we can substitute the values of x and y from the given ratios of the mixtures in the vessels:
- For the first vessel: x = 2, y = 1
- For the second vessel: x = 1, y = 1
Substitute these values into the ratio of water to milk equation and calculate the new ratio.
Final Answer:
After performing the calculations, the new ratio of water to milk in the big vessel is 3:11. Therefore, the correct answer is option (B) 3:11.
The problem states that two vessels contain equal quantities of mixtures of milk and water in the ratios 5:2 and 6:1. We need to find the new ratio of water and milk in the big vessel after mixing both the mixtures.
Given Ratios:
- Ratio of milk to water in the first vessel = 5:2
- Ratio of milk to water in the second vessel = 6:1
Calculations:
Let's assume the quantities of the mixtures in the big vessel are 5x:2x and 6y:y respectively.
- Quantity of milk in the big vessel = 5x + 6y
- Quantity of water in the big vessel = 2x + y
To find the new ratio of water and milk in the big vessel, we need to add the quantities of milk and water from both vessels:
- Total quantity of milk = 5x + 6y
- Total quantity of water = 2x + y
Now, we need to find the ratio of water to milk in the big vessel by dividing the total quantity of water by the total quantity of milk:
- Ratio of water to milk = (2x + y) / (5x + 6y)
Solving the Ratios:
To find the new ratio, we can substitute the values of x and y from the given ratios of the mixtures in the vessels:
- For the first vessel: x = 2, y = 1
- For the second vessel: x = 1, y = 1
Substitute these values into the ratio of water to milk equation and calculate the new ratio.
Final Answer:
After performing the calculations, the new ratio of water to milk in the big vessel is 3:11. Therefore, the correct answer is option (B) 3:11.
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.Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None?
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.Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about .Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None?.
.Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about .Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .Two vessels contain equal quantity of mixture of milk and water in the ratio 5:2 and 6:1. Respectively both the mixtures in big vessel find the new ratio of water and milk.(A)11:3(B) 3:11(C) 8:11(D) None?.
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