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A milkman mixes $20$ litres of water with $80$ litres of milk. After selling one-fourth of his mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?

  1. $2:3$
  2. $1:2$
  3. $1:3$
  4. $3:4$

 

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Inital quantity of water=20 Litres

Inital quantity of milk=80 Litres

 

Sold Quantity of water =$\frac{20}{4}=5 Litre$

Sold Quantity of milk =$\frac{80}{4}=20 Litre$

 

Remaining Quantity of water =20-5=15 Litres

Remaining Quantity of milk =80-20=60 Litres

 

he adds water to replenish the quantity that he has sold.Hence we have to add (5+20)= 25 Litres of water.

Now,

New Quantity of water=15+25=40 Litres

New Quantity of milk=60 Litres

 

current proportion of water to milk=40:60 = 2:3

 

Hence, Option(1)2:3 is the correct choice.

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