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my consultant is saying there is no need since the institution, fees and time duration is same.And on cic website there is no valid information for change in course

What school and course did you apply for first and what is the one you want to attend?
 
I don't want to apply for PGWP. I just want to study in Canada

If you are only interested in studying and not PGWP why would you pick a private school. You will get a much better education at a public school. Why spend money on a private school in Canada when you can get a much better education elsewhere for less money or get a much better education in Canada.