Cancer is one of the most threaten diseases which are prevailing in the world, its fatal outcomes and dangerous side effects of the treatment are making lives miserable of the patients who are suffering from it, and the condition becomes even more severe when it takes the form of metastasis. The aim of this paper is to understand the complexity of cancerous cells by applying chemotherapy along with apoptosis mechanism. The rate of drug incorporate into tumor environment and it is been observed mathematically, with the rate of adhesion between chemotherapy and cancer cell increase the density of tumor cells reduced. Here, we are modelling the problem using Chemostat model with the effect of programmed cell death along with chemotherapy. We have incorporated the rate of apoptosis,it is found that the rate of apoptosis increase, along with induced drug and together they work to increase elimination of cancer cell which leads to wash out the cancer cells.