A grocer mixes two varieties of tea, first costing Rs. 120 per kg and the second costing Rs. 70 per kg. He sells the mixture at Rs. 100 per kg and earns a profit of 25%. What is the ratio of the first variety to second variety of tea in the mixture?

First, find the cost price of the mixture by dividing the selling price by 1.25, which gives 100 divided by 1.25 equals 80. Using the rule of alligation with the costs of the two teas (120 and 70) and the mean price of 80, the ratio of the first quantity to the second is (80 minus 70) to (120 minus 80). This simplifies to 10 to 40, resulting in a ratio of 1 to 4.

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