Maurice Kraitchik/Mathematical Recreations/Chapter 2
Maurice Kraitchik: Mathematical Recreations Chapter $2$: Ancient and Curious Problems
Problem $41$
Two market-women were selling apples, one at $2$ for $1$ cent and the other at $3$ for $2$ cents.
They had $30$ apples apiece.
In order to end their competition they formed a trust, pooling their stocks and selling the apples at $5$ for $3$ cents.
This was to their advantage because under the new arrangement they took in total $36$ cents.
Under the old system they would have taken a total of only $35$ cents.
Their example was contagious.
Two other women, who also had $30$ apples apiece and who were selling them at $2$ for $1$ cent and $3$ for $1$ cent, formed a trust to sell their apples at $5$ for $2$ cents.
But instead of the $25$ cents which they would have taken in operating separate enterprises, their trust grossed only $24$ cents.
Why?