A merchant has 50 kg of sugar. He sells part of it at 8% profit and the rest at 18% profit, and gains 14% on the whole. How much does he sell at 18% profit?

Explanation

1. 01

   Alligate the profit rates: 8% part : 18% part $= (18 - 14) : (14 - 8) = 4 : 6 = 2 : 3$.

2. 02

   The 18% part is $\frac{3}{5} \times 50 = 30$ kg.