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:

Q: 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:

By the rule of alligation, we have: Profit on 1st part Profit on 2nd part 8% Mean Profit 14% 18% 4 6 Ration of 1st and 2nd parts = 4 : 6 = 2 : 3 ∴ Quantity of 2nd kind = ❨ 3 x 1000 ❩kg = 600 kg. 5

400 kg
560 kg
600 kg
640 kg

Correct Answer: 600 kg

Explanation:

By the rule of alligation, we have:

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

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

∴ Quantity of 2^nd kind =	❨	3	x 1000	❩kg	= 600 kg.
		5

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