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1. The respective ratio of milk and water in the mixture is 4 : 3. If 6 litres of water is added to this mixture, the respectively ratio of milk and water becomes 8 : 7. What is the quantity of milk in the original mixture ?

Solution:
Let the quantity of milk and water in initial mixture be 4x and 3x litres.
Quantity of water = 3x litres
On adding 6 litres of water, we get
4x3x+6=8728x=24x+4828x24x=484x=48x=484x=12
∴ Required quantity of milk
= 4x
= 4 × 12
= 48 litres

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