For your issues, the following methods can be effective:

1.) Over-the-counter treatments: buy medicated creams/gels which contain the following ingredients - salicylic acid, benzoyl peroxide, and resorcinol. They eliminate bacteria, remove excess oil, and clear your skin off of dead skin cells. These acids can make your skin sensitive to sun, so include sunscreen in your daily skincare routine!
2.) Prescription medicines: which will either contain a stronger version of above mentioned acids, or will include more options as well!
3.) Comedone extraction: wherein the doctor will use some device to extract the pug causing blackhead.
4.) Advanced clinical therapies: such as laser, microdermabrasion and chemical peel.

These treatments can be performed by a clinical doctor of a relevant field only, which in this case would be a dermatologist, you can use our page to find them - Dermatologists in India.

Let us know your city for personalized recommendations, and drop us a message as well if you have any concerns!