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# Mixture and Alligation #26

 26. A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11% on the whole , find the quantity sold at 12%. A. 800 kg B. 1600 kg C. 1200 kg D. 1400 kg

Explanation:

By rule of alligation,

 % Profit by selling part1 % Profit by selling part2 8 12 Net % Profit 11 12 - 11 = 1 11 - 8 = 3

=> Quantity of part1 : Quantity of part2 = 1 : 3

Given that total quantity = 1600 kg

Hence, quantity of part2 (quantity sold at 12% profit)
$=1600 × \dfrac{3}{4} = 1200$