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200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?
- a)120 liters
- b)150 liters
- c)180 liters
- d)200 liters
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
200 liters of a mixture contains 20% water and the rest is milk. How m...
Milk in the initial mixture = 80%
Milk in the final mixture = 100% – 10% = 90%
Milk in the final mixture = 100% – 10% = 90%
10% : 10% = 1 : 1
Hence, Option D is correct.
Hence, Option D is correct.
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200 liters of a mixture contains 20% water and the rest is milk. How m...
Understanding the Mixture
We start with 200 liters of a mixture containing 20% water and 80% milk.
- Water in the mixture: 20% of 200 liters = 40 liters
- Milk in the mixture: 80% of 200 liters = 160 liters
Objective
We need to determine how much milk should be added so that the final mixture contains 90% milk.
Setting Up the Equation
Let "x" be the amount of milk added to the existing mixture. After adding x liters of milk, the new total volume of the mixture becomes:
- Total volume of mixture = 200 + x liters
The amount of milk in the new mixture will be:
- Total milk = 160 + x liters
For the resultant mixture to have 90% milk, we can set up the following equation:
- (Total milk) / (Total volume of mixture) = 90%
Substituting the values, we have:
(160 + x) / (200 + x) = 0.9
Solving the Equation
Cross-multiplying gives:
160 + x = 0.9(200 + x)
Expanding and simplifying:
160 + x = 180 + 0.9x
Now, rearranging the equation:
160 + x - 0.9x = 180
0.1x = 20
x = 200 liters
Conclusion
To achieve a mixture that is 90% milk, you need to add 200 liters of milk to the existing mixture. This shows that the correct answer is option 'D'.
We start with 200 liters of a mixture containing 20% water and 80% milk.
- Water in the mixture: 20% of 200 liters = 40 liters
- Milk in the mixture: 80% of 200 liters = 160 liters
Objective
We need to determine how much milk should be added so that the final mixture contains 90% milk.
Setting Up the Equation
Let "x" be the amount of milk added to the existing mixture. After adding x liters of milk, the new total volume of the mixture becomes:
- Total volume of mixture = 200 + x liters
The amount of milk in the new mixture will be:
- Total milk = 160 + x liters
For the resultant mixture to have 90% milk, we can set up the following equation:
- (Total milk) / (Total volume of mixture) = 90%
Substituting the values, we have:
(160 + x) / (200 + x) = 0.9
Solving the Equation
Cross-multiplying gives:
160 + x = 0.9(200 + x)
Expanding and simplifying:
160 + x = 180 + 0.9x
Now, rearranging the equation:
160 + x - 0.9x = 180
0.1x = 20
x = 200 liters
Conclusion
To achieve a mixture that is 90% milk, you need to add 200 liters of milk to the existing mixture. This shows that the correct answer is option 'D'.
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Question Description
200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?a)120 litersb)150 litersc)180 litersd)200 litersCorrect 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 200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?a)120 litersb)150 litersc)180 litersd)200 litersCorrect 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 200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?a)120 litersb)150 litersc)180 litersd)200 litersCorrect answer is option 'D'. Can you explain this answer?.
200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?a)120 litersb)150 litersc)180 litersd)200 litersCorrect 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 200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?a)120 litersb)150 litersc)180 litersd)200 litersCorrect 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 200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?a)120 litersb)150 litersc)180 litersd)200 litersCorrect answer is option 'D'. Can you explain this answer?.
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