Quant Exam > Quant Questions > When one litre of water is added to a mixture...
Start Learning for Free
When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?
- a)100/6 %
- b)50/6 %
- c)100/3 %
- d)50/3 %
- e)None of the Above
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
When one litre of water is added to a mixture of milk and water, the n...
Answer – C. 100/3 % Explanation : Original Mixture = x L In (x + 1) Mixture, quantity of milk = (x + 1)* (25/100) = (x + 1)/4 one litre of milk is added to the new mixture [((x + 1)/4 )+ 1 ]/ x + 2 = 40% x = 3 ; quantity of milk = (3 + 1)/4 = 1L percentage of milk in the original mixture = 1/3 * 100 = 100/3 %
Most Upvoted Answer
When one litre of water is added to a mixture of milk and water, the n...
Problem: When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?
Solution:
Let us assume that the amount of milk in the original mixture is x litres, and the amount of water is y litres.
Step 1: First, we need to find out the milk and water content in the new mixture after adding one litre of water.
- After adding one litre of water to the original mixture, the total volume becomes (x+y+1) litres.
- As per the given condition, the new mixture contains 25% milk. Therefore, the amount of milk in the new mixture is 25% of (x+y+1) litres, which is 0.25(x+y+1) litres.
- The remaining part of the new mixture is water. Therefore, the amount of water in the new mixture is (x+y+1) - 0.25(x+y+1) = 0.75(x+y+1) litres.
Step 2: Next, we need to find out the milk and water content in the final mixture after adding one litre of milk to the new mixture.
- After adding one litre of milk to the new mixture, the total volume becomes (x+y+2) litres.
- As per the given condition, the final mixture contains 40% milk. Therefore, the amount of milk in the final mixture is 40% of (x+y+2) litres, which is 0.4(x+y+2) litres.
- The remaining part of the final mixture is water. Therefore, the amount of water in the final mixture is (x+y+2) - 0.4(x+y+2) = 0.6(x+y+2) litres.
Step 3: Now, we can form two equations based on the above calculations and solve them to find the values of x and y.
Equation 1: 0.25(x+y+1) + y = (x+y+1) [Equation based on the first condition]
Simplifying the above equation, we get:
x = 3y + 1
Equation 2: 0.4(x+y+2) = x + y + 2 [Equation based on the second condition]
Substituting the value of x from equation 1 in equation 2, we get:
y = 3
Therefore, the amount of milk in the original mixture is x = 3y + 1 = 10 litres.
The total volume of the original mixture is x + y = 13 litres.
Hence, the percentage of milk in the original mixture is (10/13) x 100 = 76.92%, which is approximately equal to 100/3%.
Answer: Option (c) 100/3%.
Solution:
Let us assume that the amount of milk in the original mixture is x litres, and the amount of water is y litres.
Step 1: First, we need to find out the milk and water content in the new mixture after adding one litre of water.
- After adding one litre of water to the original mixture, the total volume becomes (x+y+1) litres.
- As per the given condition, the new mixture contains 25% milk. Therefore, the amount of milk in the new mixture is 25% of (x+y+1) litres, which is 0.25(x+y+1) litres.
- The remaining part of the new mixture is water. Therefore, the amount of water in the new mixture is (x+y+1) - 0.25(x+y+1) = 0.75(x+y+1) litres.
Step 2: Next, we need to find out the milk and water content in the final mixture after adding one litre of milk to the new mixture.
- After adding one litre of milk to the new mixture, the total volume becomes (x+y+2) litres.
- As per the given condition, the final mixture contains 40% milk. Therefore, the amount of milk in the final mixture is 40% of (x+y+2) litres, which is 0.4(x+y+2) litres.
- The remaining part of the final mixture is water. Therefore, the amount of water in the final mixture is (x+y+2) - 0.4(x+y+2) = 0.6(x+y+2) litres.
Step 3: Now, we can form two equations based on the above calculations and solve them to find the values of x and y.
Equation 1: 0.25(x+y+1) + y = (x+y+1) [Equation based on the first condition]
Simplifying the above equation, we get:
x = 3y + 1
Equation 2: 0.4(x+y+2) = x + y + 2 [Equation based on the second condition]
Substituting the value of x from equation 1 in equation 2, we get:
y = 3
Therefore, the amount of milk in the original mixture is x = 3y + 1 = 10 litres.
The total volume of the original mixture is x + y = 13 litres.
Hence, the percentage of milk in the original mixture is (10/13) x 100 = 76.92%, which is approximately equal to 100/3%.
Answer: Option (c) 100/3%.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. 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 When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?.
When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. 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 When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?a)100/6 %b)50/6 %c)100/3 %d)50/3 %e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup