16. A vessel of 120 litres is filled with milk and water. 80% of milk and 40% of water is taken out of the vessel.
It is found that the vessel is vacated by 65%. What was the ratio of milk to water in the original mixture?
(1) 5:3
(2) 6:5
(3) 3:5
(4) 4:3
(5) None of these
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Answer: EXAMPLE
A vessel of 80 litres is filled With milk and water, 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55%. Find the initial quantity of milk and water
DETAIL METHOD
Let the initial quantity of milk be x litres. Therefore, initial quantity of water = (80 - x) litres.
According to the question,
70% of x + 30% of (80 - x) = 55% of 80
or, 70x + 2400 - 30x = 4400
or, 40x = 2000
x = 50 litres.
Initial quantity of water = (80 - 50) = 30 litres,
Step-by-step explanation:
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