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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. 400B. 500
C. 300D. 600

Answer: Option D

Explanation:

By rule of alligation,

Profit% by selling 1st partProfit% by selling 2nd part
818
Net % profit
14
18-14=414-8=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

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