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A sample of milk diluted with water has a density of 1040 kgm-3 . If pure milk has a density of 1080 kgm-3. The percentage of water by volume in milk is
  • a)
    4.54%
  • b)
    4.64 %
  • c)
    4.44 %
  • d)
    4.34 %
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A sample of milk diluted with water has a density of 1040 kgm-3. If pu...
Density of pure milk = 1080 Kg /m³
1080 kg / m³ = 100% pure milk
Density of diluted milk = 1032 kg / m³
1032 Kg/m³ = ? % of milk
1032 x 100/1080 = 95.56% of milk
Thus, the percentage of water by volume in milk is 100 – 95.56 = 4.44%
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Most Upvoted Answer
A sample of milk diluted with water has a density of 1040 kgm-3. If pu...
Given: Density of diluted milk = 1040 kg/m³
Density of pure milk = 1080 kg/m³

Let's assume that x% of the volume of milk is water.
So, the remaining (100-x)% of the volume is pure milk.

Now, we can use the concept of density to form an equation as follows:

Density of diluted milk = (100-x)% × Density of pure milk + x% × Density of water

We know the values of the densities of diluted milk and pure milk. Also, the density of water is 1000 kg/m³.

Substituting the given values in the above equation, we get:

1040 = (100-x)% × 1080 + x% × 1000

Simplifying this equation, we get:

1040 = 1080 - 8x + 10x
40 = 2x
x = 20

Therefore, the percentage of water by volume in milk is:

x% = 20%
or
x/100 = 0.2

Converting this into percentage, we get:

x% = 20%

Therefore, option (c) 4.44% is incorrect. The correct answer is option (b) 4.64%.
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A sample of milk diluted with water has a density of 1040 kgm-3. If pure milk has a density of 1080 kgm-3. The percentage of water by volume in milk isa)4.54%b)4.64 %c)4.44 %d)4.34 %Correct answer is option 'C'. Can you explain this answer?
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A sample of milk diluted with water has a density of 1040 kgm-3. If pure milk has a density of 1080 kgm-3. The percentage of water by volume in milk isa)4.54%b)4.64 %c)4.44 %d)4.34 %Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A sample of milk diluted with water has a density of 1040 kgm-3. If pure milk has a density of 1080 kgm-3. The percentage of water by volume in milk isa)4.54%b)4.64 %c)4.44 %d)4.34 %Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of milk diluted with water has a density of 1040 kgm-3. If pure milk has a density of 1080 kgm-3. The percentage of water by volume in milk isa)4.54%b)4.64 %c)4.44 %d)4.34 %Correct answer is option 'C'. Can you explain this answer?.
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