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A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of water to milk in the final solution.
  • a)
    185:111
  • b)
    18:11
  • c)
    21:11
  • d)
    111:185
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A solution contains 40L of pure milk. 25% of his this is taken out. An...
GIVEN:
Quantity of milk = 40L
25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out
CALCULATION:
When 25% solution is taken out = 25/100 × 40 = 10 L
Remaining solution = 40 L – 10 L = 30 L
Now, again 25% of solution is taken out = 25/100 × 30 = 7.5 L
Remaining solution = 30 L – 7.5 L = 22.5 L
Now, further 25% of solution is taken out = 25/100 × 22.5 = 5.625 L
Remaining solution = 22.5 L – 5.625 L = 16.875 L
Total quantity taken out which is replaced by water = 40 L – 16.875 L = 23.125 L
∴ Required ratio = 23.125 : 16.875 = 185 : 111
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A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of water to milk in the final solution.a)185:111b)18:11c)21:11d)111:185Correct answer is option 'A'. Can you explain this answer?
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