Income from house property - shifting to another city

Since you are self-employed, the rent received shall be assessed under income from house property. After you shift to Delhi, the rent from both the houses shall be assessed under income from house property, and you may avail 30% deduction. If the purpose of staying in Delhi is related to your business, then rent paid may be deductible expense.

Since your case represents Income from House property, you cannot adjust rent paid to rent received.  Only thing is you can avail 30% standard deduction.