Question

A litre of pure milk is added to 6 litres of 30% milk solution. Find the percentage water in the solution.
a)40%
b)50%
c)60%
d)70%

Answer 1

Answer:

60%

Step-by-step explanation:

here 6 litre solution is having 30%milk means (0.3*6)=1.8 litres of milk.

Now one more pure litre of milk is added now.

Total volume of solution=(6+1)=7 litres  ,   milk content=(1.8+1)=2.8 litres

Therefore volume of water in the solution is=(7-2.8)=4.2 litres

In percent with total volume:

(4.2/7)*100=60%

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Answer 2

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%