Kumar was born in Sigatoka Valley and educated at Fulton College before becoming a teacher. She had a long career as a teacher, eventually serving as Principal of Jasper Williams High School in Lautoka.
Kumar was named as a FijiFirst candidate on 15 August 2014. In the 2014 election she received 824 votes, but fell just short of entering parliament.
Kumar entered parliament as the next candidate on FijiFirst's list following the resignation of Dr Neil Sharma. She was appointed Assistant Minister for Education, Heritage and Arts, but lost the position after just one week.
- Farisha Ahmed (12 April 2015). "Meet Jilila Kumar, Soon-To-Be MP". Fiji Sun. Retrieved 12 April 2015.
- "FijiFirst names Final 30". FBC. Retrieved 12 April 2015.
- "2014 Election Results". Fiji Elections Office. Retrieved 12 April 2015.
- Vuniwaqa Bola-Bari (11 April 2015). "FijiFirst MP leaves". Fiji Times. Retrieved 12 April 2015.
- "Fiji minister out of job after one week". Radio New Zealand International. 21 May 2015. Retrieved 21 May 2015.