Arjun sells 50 kg of rice, part of it at a 10% profit and the rest at a 25% profit. Overall he makes a 16% profit. How many kg did he sell at a 10% profit?

Explanation

1. 01

   Treat the profit percentages like prices: 10% and 25% around a mean of 16%.

2. 02

   10% part : 25% part = $(25 - 16) : (16 - 10) = 9 : 6 = 3 : 2$.

3. 03

   Quantity at $10\% = \frac{3}{5} \times 50 = 30$ kg.