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By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 07:09
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 08:20
I think there is a typo in question. It should have been "By weight Liquid 'X ' makes up..... " Weight of Liquid X = 0.8 % of Weight of A + 1.8% of Weight of B When 300gms of A and 700gms of B is mixed : Weight of Liquid X = (0.8 * 300)/100 + (1.8* 700)/100 = 15gms % of Liquid X in resultant mixture = (15/1000) *100 = 1.5% Answer : 1.5% A
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 08:26
A
0.8 percent of 300 =2.4
1.8 percent of 700= 12.6
liquid A total conc =15
percentage (15/1000) *100=1.5%



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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 17:36
Hi All, This question has a builtin conceptual "shortcut" that can help you to answer it rather quickly.... Since liquid X makes up .8 percent of one solution and 1.8 percent of another solution, mixing the 2 solutions (regardless of how much of each you mix) will end with a total percent that is BETWEEN .8 percent and 1.8 percent. There's only one answer that fits that range.... Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 19:39
Liquid X in 300 g solution: 0.8% * 300 = 2.4 g Liquid X in 700 g solution: 1.8% * 700 = 12.6 g Total Liquid X = 12.6 +2.4 = 15g % of weight of liquid X in the resulting solution = \(\frac{(15)}{(300+700)}\) * 100 = 1.5%
Answer: A



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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 21:14
Solution A (0.8 percent of solution A (300)). 0.8/100 *300 = 2.4. Solution B (1.8 percent of solution B (700)). 1.8/100 * 700 = 12.6. Liquid X = Solution A + Solution B = 2.4 + 12.6 =15. Total weight of X = 300 + 700 = 1000. Our question is liquid X accounts for what percent of the weight of the resulting solution ? X /100 * 1000 = 15 X = 15/10 = 1.5 Hence A. 1.5% is the correct Answer
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 May 2015, 21:16
Bunuel wrote: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 300 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
A. 1.5% B. 1.9% C. 10% D. 15% E. 19%
Kudos for a correct solution. Ans: A Solution: lests say A=100gm then X in it = 0.8gm so when A=300gm, X in it = 2.4gm B=100gm then X in it = 1.8gm so when B=700gm, X in it = 12.6gm now total solution= (300+700=1000)gm total liquid X in the solution is (2.4+12.6=15)gm percentage= 1.5%
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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18 May 2015, 04:32
Bunuel wrote: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 300 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
A. 1.5% B. 1.9% C. 10% D. 15% E. 19%
Kudos for a correct solution. OFFICIAL SOLUTION:Algebraic solution:Liquid X makes up 0.8 percent of the weight of solution A and 1,8 percent of the weight of solution B. Therefore, 300 grams of solution A contain 0.8/100*300 = 2.4 grams of liquid X, and 700 grams of solution B contain 1.8/100*700 = 12.6 grams of liquid X. When the two solutions are mixed, the resulting solution weighs 1000 grams and contains 2.4 + 12.6 = 15 grams of liquid X. This means that liquid X makes up 15/1000*100 = 1.5% of the weight of the resulting solution. Answer: A. Shortcut solution:Liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. The percent of liquid X in the resulting solution (A + B) must be between 0.8 percent and 1.8 percent. Only A fits. Answer: A.
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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26 May 2016, 18:24
Bunuel wrote: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 300 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
A. 1.5% B. 1.9% C. 10% D. 15% E. 19%
Kudos for a correct solution. Can be done with weighted avg. formula w1/w2=(a2avg)/(avga1) 300/700=(1.8x)/(x0.8) x=1.5 Ans A



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By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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27 May 2016, 02:46
This is a weighted average problem.
liquid % in resulting solution is: \(\frac{(0.8 * 300) + (1.8 * 700)}{1000}\)
This works out to 1.5 %
A is the correct option.



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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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11 Oct 2018, 05:46
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Re: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent
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