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A mixture containing 13% of ethanol is mixed with another mixture containing 31% ethanol in the ratio 13 : 31. Find the percentage of ethanol in the mixture formed.

A mixture containing 13% of ethanol is mixed with another mixture containing 31% ethanol in the ratio 13 : 31. Find the percentage of ethanol in the mixture formed. Correct Answer 26%

The mixture is mixed in a ratio 13 : 31. Let the quantities of mixtures mixed be 1300 and 3100 litres, respectively. The amount of ethanol in the mixture formed = 1300 * 13 / 100 + 3100 * 31 / 100 = 169 + 961 = 1130 litres The percentage of ethanol in the mixture so formed = 1130 / 4400 * 100 = 25.681% ≈ 26%

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