How many kg of tea, selling at Rs. 10.40 per kg, should be mixed with tea selling at Rs. 8.80 per kg, to make a mixture weighing 15 kg at Rs. 146.40?

The total cost of the 15 kg mixture is Rs. 146.40, meaning its average price is 146.40 / 15 = Rs. 9.76 per kg. Using the rule of alligation with the prices 10.40 and 8.80, the ratio of quantities is (9.76 - 8.80) : (10.40 - 9.76), which is 0.96 : 0.64 or 3 : 2. Dividing the 15 kg total in this 3 : 2 ratio gives the quantity of the first tea as 15 * (3/5) = 9 kg. The required quantity is 9 kg.

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