## Correlation between sums and subsums

Hi,

am trying to figure out the following and would appreciate some help.

I am looking at two series of numbers Si and Vi at two different points in time, A and later on B, where i is a finite number.

Does a value constellation for Si and Vi exist where the following two conditions can simultaneously be fulfilled?

1. For every i the ratio Si/Vi at timepoint A has a higher value than Si/Vi at timepoint B
2. SUM (Si) / SUM (Vi) has a lower value at timepoint A than at timepoint B