Alligation or Mixture - General Aptitude

Q1:

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

ANS:C - 600 kg

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.
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