Two litres of a mixture of spirit and water contains 12% water. This is added to 3 litres of another mixture of spirit and water containing… — Answer & Discussion

Two litres of a mixture of spirit and water contains 12% water. This is added to 3 litres of another mixture of spirit and water containing 5% of water. Find the percentage of water in the resulting mixture.

A$7\frac{4}{5}$%
B$5\frac{4}{5}$%
C$3\frac{5}{7}$%
D$7\frac{9}{5}$%

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Discussion 1

CCommunity14 May 2019

Given, two litres of a mixture of spirit and water contains 12% water.

Volume of water = 12% of 2 = 0.24 litres

Now, this is added to 3 litres of another mixture of spirit and water containing 5% of water.

Total volume of water = 0.24 + 5% of 3 = 0.39 litres

% of water in the mixture $(= \;\frac{{0.39}}{5} \times 100\% \; = \;\frac{{39}}{5}\% \; = \;7\frac{4}{5}\% )$