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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:

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1. 

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 kg
[B]. 560 kg
[C]. 600 kg
[D]. 640 kg

Answer: Option C

Explanation:

 

By the rule of alligation, we have:

Profit on 1st partProfit on 2nd part
8% Mean Profit
14%
18%
4 6

Ration of 1st and 2nd parts = 4 : 6 = 2 : 3

 Quantity of 2nd kind = 1-sym-oparen-h1 3 x 1000 1-sym-cparen-h1kg = 600 kg.
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