A grocer buys two kinds of rice at rates of \$1.90 per kg and \$1.10 per kg. In what proportion should these be mixed so that by selling the mixture at $1.56 per kg, a 20% profit may be made?

Using the method of alligation, first find the target cost price by calculating 1.56 divided by 1.20, which gives 1.30 dollars per kg. The ratio of the cheaper rice at 1.10 to the dearer rice at 1.90 is found by placing the mean price of 1.30 in the middle; subtract diagonally to get 0.60 for the cheaper side and 0.20 for the dearer side. This simplifies to a ratio of 3 to 1 for the first to second rice, meaning the proportion of the first to the second is 1 to 3.

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