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A Milk and Water solution having 60% milk is mixed with milk to obtain

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MHIKER
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A Milk and Water solution having 60% milk is mixed with milk to obtain [#permalink] New post   19 Nov 2020, 08:37
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A Milk and Water solution having 60% milk is mixed with milk to obtain 90 milk solution. If 6 liters of milk was poured, find the quantity of the original solution.

A. 2
B. 3
C. 20
D. 30
E. 50
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Re: A Milk and Water solution having 60% milk is mixed with milk to obtain [#permalink] New post   19 Nov 2020, 11:11
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MHIKER wrote:
A Milk and Water solution having 60% milk is mixed with milk to obtain 90 milk solution. If 6 liters of milk was poured, find the quantity of the original solution.

A. 2
B. 3
C. 20
D. 30
E. 50




Let the original volume be = x

Initial Amount of milk = 60% of x = 0.6x and Amount of water = x - 0.6x = 0.4x


6 L of milk is added to make it into a 90% milk solution (i.e 10% is water)

So, 0.4x Liters of water is 10% of the solution of (x + 6) Liters

\(\frac{0.4x}{x + 6} * 100 = 10\)

40x = 10x + 60

30x = 60

x = 2


Option A

Arun Kumar
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Re: A Milk and Water solution having 60% milk is mixed with milk to obtain [#permalink] New post   19 Nov 2020, 11:54
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CrackVerbalGMAT wrote:
MHIKER wrote:
A Milk and Water solution having 60% milk is mixed with milk to obtain 90 milk solution. If 6 liters of milk was poured, find the quantity of the original solution.

A. 2
B. 3
C. 20
D. 30
E. 50




Let the original volume be = x

Initial Amount of milk = 60% of x = 0.6x and Amount of water = x - 0.6x = 0.4x


6 L of milk is added to make it into a 90% milk solution (i.e 10% is water)

So, 0.4x Liters of water is 10% of the solution of (x + 6) Liters

\(\frac{0.4x}{x + 6} * 100 = 10\)

40x = 10x + 60

30x = 60

x = 2


Option A

Arun Kumar



Thank you. Please help to catch my wrong thinking

The original solution is X; the amount of milk 0.60x
6 liters milk is added to get 90% milk solution, right?

Then 0.60x+6 = 0.90x
0.30x=6
x= 20

But the answer is A.

Hope you back to my question.
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A Milk and Water solution having 60% milk is mixed with milk to obtain [#permalink] New post   19 Nov 2020, 19:47
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MHIKER wrote:
Thank you. Please help to catch my wrong thinking

The original solution is X; the amount of milk 0.60x
6 liters milk is added to get 90% milk solution, right?

Then 0.60x+6 = 0.90x
0.30x=6
x= 20

But the answer is A.


Hope you back to my question.




Hello MHIKER

Please refer to the portion in red. It should be 0.9 (x + 6), as the amount of solution also increases, and the milk is now 90% of the increased solution.

If you solve it, you get 0.6x + 6 = 0.9(x + 6) = 0.9x + 5.4

Therefore 0.3x = 0.6

x = 2


Hope this helps

Arun Kumar
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A Milk and Water solution having 60% milk is mixed with milk to obtain [#permalink]
19 Nov 2020, 19:47
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