APC refers to Average Propensity to Consume which defines the amount of consumption in every 1 rupee of income for all level of income. APC = consumption / income = C/Y.
APS refers to Average Propensity to save which defines the amount of savings in every 1 rupee of income for all level of income. APS= savings/ income= S/Y.
Therefore, APC+ APS
=C/Y+S/Y
=C+S/Y
= Y/Y
= 1
Hence, APC+APS= 1.
APS can be less than zero at income levels which are lower than the break-even point.