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Solution Y is 30 percent liquid X and 70 percent water. If 2

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Solution Y is 30 percent liquid X and 70 percent water. If 2 [#permalink] New post 06 Apr 2012, 11:58
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Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

What is the easiest way to approach this type of problem and solve under 2 min.
[Reveal] Spoiler: OA

Last edited by Bunuel on 06 Apr 2012, 12:20, edited 1 time in total.
Edited the question and added the OA
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Re: percent word problem [#permalink] New post 06 Apr 2012, 12:19
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rovshan85 wrote:
Solution Y is 30% liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kg of solution Y and 2 kg of solution Y are added to the remaining 6 kg of liquid, what percent of this new solution is liquid X?

a. 30
b. 33 1/3
c. 37 1/2
d. 40
e. 50

What is the easiest way to approach this type of problem and solve under 2 min.


In 8 kilograms of solution Y there are 0.3*8=2.4 kilograms of solution X;

After 2 kilograms of water are replaced by 2 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.3*2=0.6 kilograms of solution X are added, so in the new solution of 8 kilograms there are 2.4+0.6=3 kilograms of solution X, which is 3/8*100=37.5% of this new solution.

Answer: C.
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Solution Y is 30 percent liquid X and 70 percent water. If 2 [#permalink] New post 02 Jun 2012, 08:51
Solution Y total = 8
Liq x = 30% (8) = 2.4

Added 2 kg of Solution Y
Liq x = 30% (2) = 0.6

Final Solution wil have = (2.4 + 0.6) = 3 kg of Liq x

3/8 = 37.5%
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 [#permalink] New post 26 Aug 2013, 05:51
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 [#permalink] New post 26 Aug 2013, 20:32
rovshan85 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

What is the easiest way to approach this type of problem and solve under 2 min.


1. The net effect of 2 kg of water evaporating and adding 2 kg of the solution is removing (-2 + 1.4 = -0.6) 0.6 kg of water and adding 0.6 kg of liquid
2 Therefore the changed solution contains, 2.4 + 0.6 = 3 kg of liquid and 5.6-0.6==5 kg of water.
3. Percentage of liquid is 3/8 * 100 % = 37 1/2 %
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2   [#permalink] 26 Aug 2013, 20:32
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