Question

A trader had 6 quintals of wheat. He sold a part of it at 7% profit and the rest at 17% profit, so that he made a total profit of 11%. How much wheat did he sell at 17% profit?

Answer 1

Answer:

2.4 quintals of wheat were sold at 17% profit

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Step-by-step explanation:

Let w be the amount of wheat (in quintals) sold at 17% profit.

The amount sold at 7% profit is then 6 - w.

The total profit is the weighted average of the part profits, weighted by the amount at each, so

11% = ( w × 17%  +   ( 6 - w ) × 7% ) / ( w + (6 - w) )

=> 11 = ( 17w + 42 - 7w ) / 6

=> 66 = 10w + 42

=> 10w = 24

=> w = 2.4