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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 kgB. 1600 kg
C. 1200 kgD. 1400 kg

Answer: Option C

Explanation:

By rule of alligation,

% Profit by selling part1% Profit by selling part2
812
Net % Profit
11
12 - 11 = 111 - 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)
$=1600 × \dfrac{3}{4} = 1200$

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