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A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre

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Bunuel
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A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre [#permalink] New post   27 Mar 2020, 04:39
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A 15-litre mixture contains 20% alcohol and the rest water. If 3 litres of water is mixed in it, then the percentage of alcohol in the new mixture will be

A. 17%
B. 16 2/3%
C. 15 2/3%
D. 15%
E. 12%
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B
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AnirudhaS
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Re: A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre [#permalink] New post   27 Mar 2020, 04:45
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15 l mixture has = \(\frac{20}{100}*15\) = 3 l alcohol
Therefore, 15 l mixture has = 15-3 = 12 l water

Now 3 l of water added, new mixture contains = 3 l alcohol and (12+3) = 15 l water
Therefore, percentage of alcohol = \(\frac{3}{(3+15)}*100% \)
\(= 16 \frac{2}{3} %\) alcohol
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Re: A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre [#permalink] New post   29 Mar 2020, 08:11
Expert Reply
Bunuel wrote:
A 15-litre mixture contains 20% alcohol and the rest water. If 3 litres of water is mixed in it, then the percentage of alcohol in the new mixture will be

A. 17%
B. 16 2/3%
C. 15 2/3%
D. 15%
E. 12%


Solution:


    • The amount of alcohol in the solution = \(\frac{20}{100}*15= 3\) liter.
      o The amount of water in solution = \(15 – 3 = 12\) liter
    • The amount of water added = 3 liter
      o Total amount of water in solution = \(12+3 = 15\) liter
      o The amount of alcohol in solution = 3 liter
         Total of solution = \(15 + 3 = 18\) liter
    • Required percentage = \(\frac{3}{18} *100\) = \(16 \frac{2}{3}\) %
Hence, the correct answer is Option B.
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A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre [#permalink] New post   29 Mar 2020, 08:24
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Bunuel wrote:
A 15-litre mixture contains 20% alcohol and the rest water. If 3 litres of water is mixed in it, then the percentage of alcohol in the new mixture will be

A. 17%
B. 16 2/3%
C. 15 2/3%
D. 15%
E. 12%


Alchohol in 15 lt mixture = 20% of 15 = 3 lt
Water in 15 lt mixture = 80% of 15 = 12 lt

After adding 3 lt water

Water = 12+3 = 15 lt
Total Quantity of mixture = 15+3 = 18

% of alcohol = (3/18)*100 = 16.67%

Answer: Option B

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Re: A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre [#permalink] New post   09 Mar 2024, 23:14
Hello from the GMAT Club BumpBot!

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Re: A 15-litre mixture contains 20% alcohol and the rest water. If 3 litre [#permalink]
09 Mar 2024, 23:14
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