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A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?
- a)82 litres
- b)75 litres
- c)95 litres
- d)80 litres
- e)84 litres
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
A mixture of milk and water contains 25% water. 12 litres of this mixt...
E) 84 litres Explanation: Milk : water = 75% : 25% = 3 : 1 Total = 3x+x+12 = 4x+12 So (x+5)/3x = 2/5 Solve, x = 25 So total = 4*25 + 12 = 112 litres So originally milk = 3/(3+1) * 112 = 84
Most Upvoted Answer
A mixture of milk and water contains 25% water. 12 litres of this mixt...
Given:
- The mixture contains milk and water.
- The mixture is 25% water.
- 12 litres of the mixture is drawn out.
- 5 litres of water is added to the mixture.
- The new ratio of water to milk is 2:5.
To find:
- The amount of milk originally present in the mixture.
Approach:
Let's assume the initial amount of mixture as 'x' litres.
1. Calculate the initial amount of water in the mixture:
- As the mixture is 25% water, the amount of water in the mixture is 25% of x.
- So, the initial amount of water = 0.25x.
2. Calculate the initial amount of milk in the mixture:
- The initial amount of milk = x - (initial amount of water)
- Initial amount of milk = x - 0.25x = 0.75x.
3. After drawing out 12 litres of the mixture, the amount of water in the mixture is:
- The initial amount of water - 12 litres = 0.25x - 12.
4. After adding 5 litres of water, the amount of water in the mixture becomes:
- (0.25x - 12) + 5 = 0.25x - 7.
5. The new ratio of water to milk is 2:5. So, we can write it as:
- (0.25x - 7) / (0.75x) = 2 / 5.
6. Solve the equation to find the value of 'x':
- Cross multiply: 5(0.25x - 7) = 2(0.75x).
- Simplify: 1.25x - 35 = 1.5x.
- Rearrange: 1.5x - 1.25x = 35.
- Solve: 0.25x = 35.
- Divide by 0.25: x = 140.
Conclusion:
The amount of milk originally present in the mixture is 0.75x = 0.75 * 140 = 105 litres.
Therefore, the correct answer is option 'E' - 84 litres.
- The mixture contains milk and water.
- The mixture is 25% water.
- 12 litres of the mixture is drawn out.
- 5 litres of water is added to the mixture.
- The new ratio of water to milk is 2:5.
To find:
- The amount of milk originally present in the mixture.
Approach:
Let's assume the initial amount of mixture as 'x' litres.
1. Calculate the initial amount of water in the mixture:
- As the mixture is 25% water, the amount of water in the mixture is 25% of x.
- So, the initial amount of water = 0.25x.
2. Calculate the initial amount of milk in the mixture:
- The initial amount of milk = x - (initial amount of water)
- Initial amount of milk = x - 0.25x = 0.75x.
3. After drawing out 12 litres of the mixture, the amount of water in the mixture is:
- The initial amount of water - 12 litres = 0.25x - 12.
4. After adding 5 litres of water, the amount of water in the mixture becomes:
- (0.25x - 12) + 5 = 0.25x - 7.
5. The new ratio of water to milk is 2:5. So, we can write it as:
- (0.25x - 7) / (0.75x) = 2 / 5.
6. Solve the equation to find the value of 'x':
- Cross multiply: 5(0.25x - 7) = 2(0.75x).
- Simplify: 1.25x - 35 = 1.5x.
- Rearrange: 1.5x - 1.25x = 35.
- Solve: 0.25x = 35.
- Divide by 0.25: x = 140.
Conclusion:
The amount of milk originally present in the mixture is 0.75x = 0.75 * 140 = 105 litres.
Therefore, the correct answer is option 'E' - 84 litres.
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A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer?
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A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer?.
A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture of milk and water contains 25% water. 12 litres of this mixture is drawn out and replaced with 5 litres of water. If the new ratio of water to milk becomes 2 : 5, what is the amount of milk originally present in the mixture?a)82 litresb)75 litresc)95 litresd)80 litrese)84 litresCorrect answer is option 'E'. Can you explain this answer?.
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