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14) A vessel contains a mixture of milk and water in the respective ratio of 3:1. 32 litres of
mixture was taken out and replaced with the same quantity of milk so that the resultant ratio
between the quantities of milk and water in the mixture was 4:1 respectively. If 10 litres of
mixture is again taken out from the vessel, what is the resultant quantity of water in the
mixture? (in litres)
(a)24
(b)30
(c)20
(d)36
(e)32
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Answer:
answer 30litre .
Step-by-step explanation:
Let the total quantity of mixture = x litre
According to question,
44+1=[x−32x]
4x=5x-160
x = 160 Litrs
The quantity of milk in mixture = 160×34
= 120 Litre
The quantity of water in misture = 160×14
= 40 Litre
32 litre of mixture was taken out and replaced with the same quantity of milk.
Then, the quantity of milk in mixture = 120−32×34+32
= 120-24+32 = 128 Litre
After 10 litres of mixture is again taken out from the vessel, the resultant quantity of water in mixture= =32−10×15=32−2=30litre.
ihope this answer may help u
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