NEW DELHI — People trickled outdoors and thin traffic returned to roads in some Indian states on Monday, a day after the federal government extended the nationwide coronavirus lockdown to May 31 but eased many restrictions to restore economic activity.

Small shops and other businesses were reopened in several states, including the capital, New Delhi, where the movement of private transport led to some traffic snarls. E-commerce companies started to deliver goods, including those considered nonessential, to places outside containment zones.

Metro service, flights, schools, shopping malls, colleges, hotels and restaurants, however, remain shuttered nationwide.

The ease in restrictions comes as the federal government gives states more control in deciding the nature of the lockdown and the power to classify areas as certain types of COVID-19 zones based on the spread and severity of cases.

In New Delhi, cyclists and private cars whizzed through thoroughfares that had been almost entirely deserted a day earlier. Late Monday, authorities in the capital announced they will allow auto rickshaws, cabs and buses with no more than 20 passengers. The capital’s top elected leader, Arvind Kejriwal, said private offices can also open fully, but “should try that most of the staff works from home.”

In Khan Market, one of New Delhi’s poshest marketplaces, produce shops, hardware stores, booksellers and stationers were open, but cafes, boutiques and salons remained closed under the government guidelines.

Instead, two long, single-file lines of mainly men stood waiting for food donations.

Rajni Malhotra, an owner of the Bahri Sons bookstore in Khan Market, said travel magazines and books were particularly popular among buyers since booksellers were allowed to reopen in the previous phase of the easing of India’s lockdown.

“They need the escape,” Rajni said.

The easing of the lockdown, however, has had a downside.

The air quality in New Delhi remained in the “moderate” category on Monday, with the Air Quality Index hovering a touch above the 170s, considered unhealthy, according to the government’s air quality monitoring system.

New Delhi, known along with other Indian cities for its poor air quality, had enjoyed clean air after India announced the lockdown in late March. But the reopening of factories in the capital’s outskirts has led to a deterioration of air quality in one of the world’s most polluted cities.

India recorded its biggest single-day coronavirus surge on Monday with 5,242 new cases along with 157 deaths. India has confirmed a total of more than 96,000 cases, the most in Asia, including 3,029 deaths.

Most of the cases have been in major cities.

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