Quant Exam > Quant Questions > A can contains milk and water in the ratio 3:...
Start Learning for Free
A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?
- a)9/19
- b)8/19
- c)6/17
- d)3/19
- e)4/19
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A can contains milk and water in the ratio 3:1. A part of this mixture...
D) 3/19
Explanation: Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out, Milk = [3/(3+1)] * x – [3/(3+1)] * y Water = [1/(3+1)] * x – [1/(3+1)] * y Now y litres of milk poured in can. Milk becomes (3/4)*x – (3/4)*y +y = (3/4)*x + (1/4)*y Now [(3/4)*x +(1/4)*y] / [(1/4)*x – (1/4)*y] = 15/4 Solve, y = (3/19)* x So 3/19 of original mixture removed.
Explanation: Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out, Milk = [3/(3+1)] * x – [3/(3+1)] * y Water = [1/(3+1)] * x – [1/(3+1)] * y Now y litres of milk poured in can. Milk becomes (3/4)*x – (3/4)*y +y = (3/4)*x + (1/4)*y Now [(3/4)*x +(1/4)*y] / [(1/4)*x – (1/4)*y] = 15/4 Solve, y = (3/19)* x So 3/19 of original mixture removed.
Most Upvoted Answer
A can contains milk and water in the ratio 3:1. A part of this mixture...
D) 3/19
Explanation: Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out, Milk = [3/(3+1)] * x – [3/(3+1)] * y Water = [1/(3+1)] * x – [1/(3+1)] * y Now y litres of milk poured in can. Milk becomes (3/4)*x – (3/4)*y +y = (3/4)*x + (1/4)*y Now [(3/4)*x +(1/4)*y] / [(1/4)*x – (1/4)*y] = 15/4 Solve, y = (3/19)* x So 3/19 of original mixture removed.
Explanation: Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out, Milk = [3/(3+1)] * x – [3/(3+1)] * y Water = [1/(3+1)] * x – [1/(3+1)] * y Now y litres of milk poured in can. Milk becomes (3/4)*x – (3/4)*y +y = (3/4)*x + (1/4)*y Now [(3/4)*x +(1/4)*y] / [(1/4)*x – (1/4)*y] = 15/4 Solve, y = (3/19)* x So 3/19 of original mixture removed.
Free Test
FREE
| Start Free Test |
Community Answer
A can contains milk and water in the ratio 3:1. A part of this mixture...
Given:
- The original ratio of milk to water in the can is 3:1.
- A part of this mixture is replaced with milk.
- The new ratio of milk to water after the replacement is 15:4.
To find:
- The proportion of the original mixture that had been replaced by milk.
Assumption:
Let's assume that the original quantity of the mixture is 4 units (since the ratio is given as 3:1).
Step 1: Calculate the original quantity of milk and water
- The original ratio of milk to water is 3:1, so the original quantity of milk is (3/4) * 4 = 3 units.
- The original quantity of water is (1/4) * 4 = 1 unit.
Step 2: Calculate the new quantity of milk and water
- After the replacement, the new ratio of milk to water is 15:4.
- Let's assume that x units of the original mixture are replaced by milk.
- So, the new quantity of milk is 3 + x units and the new quantity of water is 1 unit.
Step 3: Set up the equation
- According to the given information, the new ratio of milk to water is 15:4.
- This can be represented as (3 + x)/1 = 15/4.
- Cross-multiplying, we get 4(3 + x) = 15 * 1.
- Simplifying, we get 12 + 4x = 15.
- Solving for x, we get x = 3/4.
Step 4: Calculate the proportion of the original mixture replaced
- We assumed that the original quantity of the mixture is 4 units.
- The quantity replaced is x = 3/4 units.
- The proportion of the original mixture replaced is (3/4) / 4 = 3/16.
- Simplifying, we get 3/16 = 3/4 * 1/4 = 3/16.
Therefore, the proportion of the original mixture that had been replaced by milk is 3/16, which is equivalent to 3/19 (after simplifying). Hence, the correct answer is option (D) 3/19.
- The original ratio of milk to water in the can is 3:1.
- A part of this mixture is replaced with milk.
- The new ratio of milk to water after the replacement is 15:4.
To find:
- The proportion of the original mixture that had been replaced by milk.
Assumption:
Let's assume that the original quantity of the mixture is 4 units (since the ratio is given as 3:1).
Step 1: Calculate the original quantity of milk and water
- The original ratio of milk to water is 3:1, so the original quantity of milk is (3/4) * 4 = 3 units.
- The original quantity of water is (1/4) * 4 = 1 unit.
Step 2: Calculate the new quantity of milk and water
- After the replacement, the new ratio of milk to water is 15:4.
- Let's assume that x units of the original mixture are replaced by milk.
- So, the new quantity of milk is 3 + x units and the new quantity of water is 1 unit.
Step 3: Set up the equation
- According to the given information, the new ratio of milk to water is 15:4.
- This can be represented as (3 + x)/1 = 15/4.
- Cross-multiplying, we get 4(3 + x) = 15 * 1.
- Simplifying, we get 12 + 4x = 15.
- Solving for x, we get x = 3/4.
Step 4: Calculate the proportion of the original mixture replaced
- We assumed that the original quantity of the mixture is 4 units.
- The quantity replaced is x = 3/4 units.
- The proportion of the original mixture replaced is (3/4) / 4 = 3/16.
- Simplifying, we get 3/16 = 3/4 * 1/4 = 3/16.
Therefore, the proportion of the original mixture that had been replaced by milk is 3/16, which is equivalent to 3/19 (after simplifying). Hence, the correct answer is option (D) 3/19.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer?
Question Description
A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. 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 can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. 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 can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer?.
A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. 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 can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. 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 can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer?.
Solutions for A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. 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 A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A can contains milk and water in the ratio 3:1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15:4.What proportion of original mixture had been replaced by milk?a)9/19b)8/19c)6/17d)3/19e)4/19Correct answer is option 'D'. 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 on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily