Regarding home tuition income

Yes, You can Show it in other sources 

1. Since you are taking tuition as a part-time the same will be taxed under the head Income from other sources. 
2. With respect to your salary income, transport allowance has been substituted by standard deductions (Rs. 40,000). So, exemption u/s 10(14) will no longer be available. 
Please correct me if the above solution has an alternative view.