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A milkman mixes 20 litres of water with 80 litres of milk.

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A milkman mixes 20 litres of water with 80 litres of milk.  [#permalink]

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New post 01 Nov 2018, 05:44
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Question Stats:

78% (01:35) correct 22% (01:34) wrong based on 64 sessions

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

a. 2:3
b. 1:2
c. 1:3
d. 3:4
e. 1:1
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Re: A milkman mixes 20 litres of water with 80 litres of milk.  [#permalink]

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New post 01 Nov 2018, 06:03
Total quantity = 100 litres. the ratio of water to milk = 1:4
25% is sold.
remaining = 75 litres.
the quantity of water remaining = 75/5 = 15 litres.
quantity of milk remaining = 75*4/5 = 60 litres.
Now 25 liters of water is added.
so 40 liters of water and 60 liters of milk.
The ratio becomes \(2:3\)

A is the answer.
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Re: A milkman mixes 20 litres of water with 80 litres of milk.  [#permalink]

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New post 01 Nov 2018, 06:44
RhythmGMAT wrote:
A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he had sold. What is the current proportion of water to milk?

a. 2:3
b. 1:2
c. 1:3
d. 3:4
e. 1:1

Total Quantity =100 litres
Water =20 litres, Milk =80 litres
W/M=1/4
W/(W+M)= 1/5
He sold 1/4th of the mixture means 25 litres of the mixture.
here W+M = 25 Litres
W= 5 litres , M = 20 Litres
so the remaining quantity in the mixture
W= 15 litres and M= 60 Litres
As he adds 25 litres of water in the mixture
W= 15+25= 40 Litres
M= 60 Litres
W/M=40/60
W/M=2/3
A:)
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A milkman mixes 20 litres of water with 80 litres of milk.  [#permalink]

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New post 02 Nov 2018, 03:11
RhythmGMAT wrote:
A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he had sold. What is the current proportion of water to milk?

a. 2:3
b. 1:2
c. 1:3
d. 3:4
e. 1:1


Initial ratio = 2:8

After 1/4th is sold, quantity left is 75litres
Water in mixture = 2/10 * 75 = 15litres
Milk in mixture = 8/10 *75 = 60 litres

new ratio = [15 litres + 25 litres (qty sold) ] : 60 litres

After simplification , answer is 2:3

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A milkman mixes 20 litres of water with 80 litres of milk. &nbs [#permalink] 02 Nov 2018, 03:11
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A milkman mixes 20 litres of water with 80 litres of milk.

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