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A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)
- a)7 : 2
- b)31 : 12
- c)35 : 9
- d)5 : 2
Correct answer is option 'D'. Can you explain this answer?
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A milkman uses three containers for selling milk, their capacities bei...
Quantity in container of capacity
Quantity in container of capacity
Milk in three Containers
Ratio of milk to water
Quantity in container of capacity
Milk in three Containers
Ratio of milk to water
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A milkman uses three containers for selling milk, their capacities bei...
Understanding the Problem
To determine the ratio of milk to water in the milkman's containers, we need to analyze each container's capacity, how much of it is filled, and the milk-to-water ratio used.
Container Capacities and Fill Levels
- Container 1 (40 L): Filled to 87.5%
- Container 2 (30 L): Filled to 80%
- Container 3 (20 L): Filled to 90%
Calculating Actual Volumes
- Container 1: 87.5% of 40 L = 35 L
- Container 2: 80% of 30 L = 24 L
- Container 3: 90% of 20 L = 18 L
Total Volume of the Mixture
- Total Volume = 35 L + 24 L + 18 L = 77 L
Milk and Water Ratios
- Container 1: Ratio of milk to water = 3:2
- Total parts = 3 + 2 = 5
- Milk = (3/5) * 35 L = 21 L
- Water = (2/5) * 35 L = 14 L
- Container 2: Ratio of milk to water = 5:1
- Total parts = 5 + 1 = 6
- Milk = (5/6) * 24 L = 20 L
- Water = (1/6) * 24 L = 4 L
- Container 3: Ratio of milk to water = 7:2
- Total parts = 7 + 2 = 9
- Milk = (7/9) * 18 L = 14 L
- Water = (2/9) * 18 L = 4 L
Calculating Total Milk and Water
- Total Milk: 21 L + 20 L + 14 L = 55 L
- Total Water: 14 L + 4 L + 4 L = 22 L
Finding the Ratio
- Ratio of Milk to Water = 55 L : 22 L = 55/22.
- Simplifying gives us 5 : 2.
Conclusion
The ratio of the total quantity of milk to that of water carried by the milkman is 5 : 2. Thus, the correct answer is option 'D'.
To determine the ratio of milk to water in the milkman's containers, we need to analyze each container's capacity, how much of it is filled, and the milk-to-water ratio used.
Container Capacities and Fill Levels
- Container 1 (40 L): Filled to 87.5%
- Container 2 (30 L): Filled to 80%
- Container 3 (20 L): Filled to 90%
Calculating Actual Volumes
- Container 1: 87.5% of 40 L = 35 L
- Container 2: 80% of 30 L = 24 L
- Container 3: 90% of 20 L = 18 L
Total Volume of the Mixture
- Total Volume = 35 L + 24 L + 18 L = 77 L
Milk and Water Ratios
- Container 1: Ratio of milk to water = 3:2
- Total parts = 3 + 2 = 5
- Milk = (3/5) * 35 L = 21 L
- Water = (2/5) * 35 L = 14 L
- Container 2: Ratio of milk to water = 5:1
- Total parts = 5 + 1 = 6
- Milk = (5/6) * 24 L = 20 L
- Water = (1/6) * 24 L = 4 L
- Container 3: Ratio of milk to water = 7:2
- Total parts = 7 + 2 = 9
- Milk = (7/9) * 18 L = 14 L
- Water = (2/9) * 18 L = 4 L
Calculating Total Milk and Water
- Total Milk: 21 L + 20 L + 14 L = 55 L
- Total Water: 14 L + 4 L + 4 L = 22 L
Finding the Ratio
- Ratio of Milk to Water = 55 L : 22 L = 55/22.
- Simplifying gives us 5 : 2.
Conclusion
The ratio of the total quantity of milk to that of water carried by the milkman is 5 : 2. Thus, the correct answer is option 'D'.
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Question Description
A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer?.
A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer?.
Solutions for A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
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A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him? (SSC CHSL-2018)a)7 : 2b)31 : 12c)35 : 9d)5 : 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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