Marginal Propensity to consume refers to the percentage change in consumption for every one rupee of change in the income.
MPC= change in consumption/ change in income = ^C/^Y
Marginal Propensity
to save refers to the percentage change in savings for every one rupee of
change in the income.
MPS= change in savings/ change in income = ^S/^Y
MPC+MPS
= ^C/^Y+ ^S/^Y
=^C+^S/ ^Y
=^Y/^Y
=1
Hence, MPC+MPS=1.