IIIT Delhi indeed has very high fees. But it also has several schemes for a partial fee waiver. One such scheme is based on means for which you might actually be eligible. Students whose total family income is INR 22,000 per month, will be eligible for a 50% fee waiver provided that the tuition paid at your school is up to INR 25,000 per annum. In case your school tuition is up to Rs. 45,000 per annum, you will be eligible for a 25% fee waiver only.
Additionally, there is a merit-based fee waiver under which if your final JEE rank is up to 2000, then you get a scholarship of INR 1 lakh per year.
Students can also take out educational loans easily since IIIT Delhi is approved by the State Bank of India under the SBI Scholar scheme which gives out loans easily.