Sonia, a two-time Asian and world silver-medallist, went down to North Korea's Jo Son Hwa in her featherweight 57kg category quarter-final bout.
The Indian never quite got a measure of her opponent in a contest that could hardly be described as exciting.
Jo was the one mounting most of the few attacks and being a southpaw, she became all the more difficult for the Indian to decipher. Her jabs connected powerfully but the bout itself wasn't particularly impressive, given that both the boxers spent a considerable time clinching and holding.
The duo ended up getting a warning each for clinching.
About 45 minutes later, Pavitra took the ring against home favourite Huswatun Hasanah in the lightweight 60kg category.
The Indian was a comprehensive winner in the first round, unaffected by the partisan crowd's loud support for Hasanah.
However, Hasanah put the power in her punches from second round onwards, not missing a chance to connect.
Pavitra, making her debut at the Games, stood her ground but the effort could not find favour with a majority of the judges, who ruled 3-2 in favour of the Indonesian.
The remaining quarter-finals will be held on Wednesday.
Two-time medallist Vikas Krishan (75kg), Amit Panghal (49kg), and Dheeraj Rangi (64kg) will fight it out for a place in the men's semi-finals, while Sarjubala Devi (51kg) is the lone woman left in fray for the country.
A top commander of the outlawed Tehreek-e-Taliban Pakistan (TTP) Omar Khalid Khorasani and three other top terrorists have been killed in a mysterious blast in eastern Afghanistan's Paktika province, a Pakistani media report said on Monday.