You nees to complete graduation first and then you are eligible to apply directly for CA IPCC Intermediate course without need for appearing CPt exam. 

Once you clear IPCC both groups you need 3years of articleship under certified practitioner and IT training of 3months as well. After which you need to appesr for Final CA exam for 2groups and only then after clearing you shall be CA. 

Starting CA after graduation do not require clearance in CPT. You can direcly proceed to the 2nd level i.e., IPCC right after graduation. I think 3 years is a long period to wait for the entrance in CA and after that you have to complete 3 years of Articleship training also.

Before taking the Integrated Professional Competence Examination, the candidate must have qualified cpt. A minimum of 55% score is required for graduates/post graduates in commerce whereas other graduates or post graduates require a minimum of 60% to apply for CA.

Generally people consider only 3 years of articleship period as a complete tenure for CA course but before that a 1 year study for the first two levels is also required which makes a total of 4 years for completing CA course.

Six subjects of foundation course.
Paper 1 : Fundamentals OF Accounting.
Paper 2 : Quantitative aptitude.
Paper 3 A: Mercantile Law.
Paper 3 B: General Economics.
Paper 4 : General English.
Paper 4 B: Business Communication.

Eligibility for CA IPCC. A student who has passed Common Proficiency Test and Senior Secondary Examination (10+2 examination) conducted by an examining body constituted by law in India or an examination recognized by the Central Government as equivalent thereto may join the Integrated Professional Competence Course.

Final CA. Before you take the final exams, you are required to have completed at least two and half years of the mandatory three years of articleship. All the three levels are conducted twice a year.

The process to become a Chartered Accountant (CA) is as following: Registration for the CPT (Common Proficiency Test): First step is to register  for CPT with the Institute of Chartered Accountants of India (ICAI) after passing  10th Standard examination. Pass the CPT(Common Proficiency Test).

Thanks,
Azim