You can get a credit card with a salary of Rs. 12,000, but you would have limited options. Each lender would have their own criteria of qualifying for a credit card. Lenders would want to know if you will be able to pay your credit card bills on time every month. To know about your repaying capabilities, your credit history will be checked. Having a good credit background would get you better chances of qualifying for a credit card even though your choices may be limited. But having a bad credit background can bring down your chances of getting a credit card.
According to your credit background, once you have qualified for a credit card, you can bargain for higher credit limits if you have a good credit score. Here are a couple of credit cards that you may qualify for if you have a monthly salary of Rs. 12,000: HDFC Bharat CashBack Card, HDFC Freedom Card.