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# Mixture and Alligation #17

 17. A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is A. 400 B. 500 C. 300 D. 600

Explanation:

By rule of alligation,

 Profit% by selling 1st part Profit% by selling 2nd part 8 18 Net % profit 14 18-14=4 14-8=6

=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3

Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)
$=1000 × \dfrac{3}{5}$ = 600 kg