CLAT Exam > CLAT Questions > A mixture of 40 litres of milk and water cont...
Start Learning for Free
A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.
- a)5 Litres
- b)4 Litres
- c)6.5 Litres
- d)7.5 Litres
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A mixture of 40 litres of milk and water contains 10% of water. How mu...
Understanding the Initial Mixture
The mixture consists of 40 litres, with 10% being water. To find the quantity of water in the mixture:
- Water = 10% of 40 litres = 0.10 × 40 = 4 litres
- Hence, the amount of milk = 40 litres - 4 litres = 36 litres
Setting Up the New Mixture
We need to determine how much additional water (let's call it 'x' litres) must be added so that water constitutes 20% of the new mixture.
Calculating the New Mixture Volume
After adding 'x' litres of water, the new total volume of the mixture will be:
- New Volume = 40 litres + x litres
Setting Up the Equation
The new amount of water will be:
- New Water = 4 litres + x litres
We want this new amount of water to be 20% of the new total volume:
- 20% of (40 + x) = (4 + x)
So, we can set up the equation:
- (4 + x) = 0.20 × (40 + x)
Simplifying the Equation
Expanding the equation:
- 4 + x = 8 + 0.20x
Now, rearranging gives:
- x - 0.20x = 8 - 4
- 0.80x = 4
- x = 4 / 0.80
- x = 5 litres
Conclusion
To achieve the desired concentration of water in the new mixture, **5 litres** of water must be added. Thus, the correct option is **A) 5 Litres**.
The mixture consists of 40 litres, with 10% being water. To find the quantity of water in the mixture:
- Water = 10% of 40 litres = 0.10 × 40 = 4 litres
- Hence, the amount of milk = 40 litres - 4 litres = 36 litres
Setting Up the New Mixture
We need to determine how much additional water (let's call it 'x' litres) must be added so that water constitutes 20% of the new mixture.
Calculating the New Mixture Volume
After adding 'x' litres of water, the new total volume of the mixture will be:
- New Volume = 40 litres + x litres
Setting Up the Equation
The new amount of water will be:
- New Water = 4 litres + x litres
We want this new amount of water to be 20% of the new total volume:
- 20% of (40 + x) = (4 + x)
So, we can set up the equation:
- (4 + x) = 0.20 × (40 + x)
Simplifying the Equation
Expanding the equation:
- 4 + x = 8 + 0.20x
Now, rearranging gives:
- x - 0.20x = 8 - 4
- 0.80x = 4
- x = 4 / 0.80
- x = 5 litres
Conclusion
To achieve the desired concentration of water in the new mixture, **5 litres** of water must be added. Thus, the correct option is **A) 5 Litres**.
Free Test
FREE
| Start Free Test |
Community Answer
A mixture of 40 litres of milk and water contains 10% of water. How mu...
The quantity of water to be added=40(20-10)/(100-20)=5
Attention CLAT Students!
To make sure you are not studying endlessly, EduRev has designed CLAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CLAT.
|
Explore Courses for CLAT exam
|
|
Similar CLAT Doubts
Top Courses for CLATView all
A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer?
Question Description
A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer?.
A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT.
Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture.a)5 Litresb)4 Litresc)6.5 Litresd)7.5 LitresCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CLAT tests.
|
|
Explore Courses for CLAT exam
|
|
Suggested Free Tests
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