A litre of pure milk is added to 6 litres of 30% milk solution. Find the percentage water in the solution.
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The percentage of water in the solution is 60%
Step-by-step explanation:
From question, 6 liters of 30% of milk solution is:
⇒ 6 × 30/100 = 6 × 0.3 = 1.8 liters
From question, a liter of pure milk is added to 6 liters, thus,
⇒ 6 + 1 = 7 liters (available volume of solution)
Now, the available volume of milk is:
⇒ 1.8 + 1 = 2.8 liters
Now, on subtracting volume of milk from total solution, we get volume of water, thus,
⇒ Volume of water = 7 - 2.8 = 4.2 liters
Now, the percentage of water in solution is:
4.2/7 × 100 = 60%
∴ Percentage of water in solution is 60%
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