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A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.
- a)100 litres
- b)120 litres
- c)150 litres
- d)180 litres
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A milkman adds 500 ml of water to each litre of milk he has in a conta...
Let initial quantity of milk be 10x
After adding water, total quantity =15x
quantity of milk =10x
After selling 30 litre of mixture and adding 10 litre milk, total quantity =(15x – 30 + 10) = (15x−20)
Initial quantity of milk in the container = 10x = 120litres
After adding water, total quantity =15x
quantity of milk =10x
After selling 30 litre of mixture and adding 10 litre milk, total quantity =(15x – 30 + 10) = (15x−20)
Initial quantity of milk in the container = 10x = 120litres
Most Upvoted Answer
A milkman adds 500 ml of water to each litre of milk he has in a conta...
Given:
- A milkman adds 500 ml of water to each litre of milk he has in a container.
- He sells 30 litres of mixture from the container and adds 10 litres of milk to the remaining.
- The ratio of milk and water in the final mixture is 11:5.
To find:
- The initial quantity of milk in the container.
Approach:
Let's assume that the initial quantity of milk in the container is 'x' litres.
So, the initial quantity of water will be (x*500) ml.
After adding water, the total quantity of mixture in the container will be (x + x*0.5) = (1.5x) litres.
When 30 litres of mixture is sold, the quantity of mixture left in the container will be (1.5x - 30) litres.
Now, 10 litres of milk is added to the remaining mixture, so the quantity of milk in the container becomes (x + 10) litres.
The final mixture has a ratio of milk and water as 11:5, which means that for every 11 units of milk, there are 5 units of water.
So, we can write the following equation based on the given information:
(11/16)*(x+10) = x [dividing by 16 to convert litres to units]
Solving this equation, we get x = 120 litres.
Therefore, the initial quantity of milk in the container was 120 litres.
Answer: Option B (120 litres)
- A milkman adds 500 ml of water to each litre of milk he has in a container.
- He sells 30 litres of mixture from the container and adds 10 litres of milk to the remaining.
- The ratio of milk and water in the final mixture is 11:5.
To find:
- The initial quantity of milk in the container.
Approach:
Let's assume that the initial quantity of milk in the container is 'x' litres.
So, the initial quantity of water will be (x*500) ml.
After adding water, the total quantity of mixture in the container will be (x + x*0.5) = (1.5x) litres.
When 30 litres of mixture is sold, the quantity of mixture left in the container will be (1.5x - 30) litres.
Now, 10 litres of milk is added to the remaining mixture, so the quantity of milk in the container becomes (x + 10) litres.
The final mixture has a ratio of milk and water as 11:5, which means that for every 11 units of milk, there are 5 units of water.
So, we can write the following equation based on the given information:
(11/16)*(x+10) = x [dividing by 16 to convert litres to units]
Solving this equation, we get x = 120 litres.
Therefore, the initial quantity of milk in the container was 120 litres.
Answer: Option B (120 litres)
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A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer?
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A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer?.
A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milkman adds 500 ml of water to each litre of milk he has in a container. He sells 30 litres of mixture from container and adds 10 litres milk in the remaining. The ratio of milk and water in the final mixture is 11:5. Find the initial quantity of milk in the container.a)100 litresb)120 litresc)150 litresd)180 litresCorrect answer is option 'B'. Can you explain this answer?.
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