After disasters in Bangladesh garment factories that have claimed hundreds of lives in recent months, shoppers in the West have shown growing concern about worker safety in developing countries — as long as it doesn’t mean an end to bargains.

“It bothers me, but a lot of retailers are getting their clothes from these places and I can’t see how I can change anything,” university student Elizabeth McNail, 21, said, clutching a bag from clothier Primark the day after a building collapse in Savar, Bangladesh, killed at least 381 people. “They definitely need to improve, but I’ll still shop here. It’s so cheap.”

Both of Primark’s stores on Oxford Street in central London heaved with crowds sorting through clothing under neon signs heralding “Amazing Fashion Amazing Prices” last week. The floors were littered with crumpled T-shirts, jeans and sundresses, while shoppers waited in lines 50-deep to pay for summer wear such as a $2.30 fluorescent sun visor and $10.85 denim shorts.

Primark, a unit of Associated British Foods, is one of at least five retailers whose products were made in the eight- story building that collapsed. Loblaw’s brand Joe Fresh, U.K. budget retailer Matalan, plus-size womenswear seller Bonmarche and Spanish department store El Corte Ingles have also said they had suppliers in the building.

A 2012 report by consultants McKinsey & Co. said purchasing chiefs at American and European clothiers considered Bangladesh the “next hot spot” because of its low costs. Over four-fifths plan to cut China sourcing, where wages are rising, because of declining profit margins. The Bangladesh Garment Manufacturers and Exporters Association says the country is the world’s second-largest apparel exporter, after China. Textiles account for about 80 percent of Bangladesh’s exports.

The shift to Bangladesh has created an $18 billion manufacturing industry, yet one that is marred by factories with poor electrical wiring, an insufficient number of exits and little firefighting equipment. More than 1,000 Bangladesh garment workers have died in fires and other disasters since 2005, according to the International Labor Rights Forum, an advocacy group in Washington. A November fire at a factory making clothes for companies including Wal-Mart killed 112 people.

Clothing companies have come under increasing pressure to lower costs as the rise of fast fashion at cutthroat prices has trained consumers to expect $5 T-shirts and $6 bikinis. The cost of clothing in Britain has dropped 20 percent since 2005, according to the U.K.’s Office for National Statistics, while food is up 43 percent.

Even small price increases in the name of better worker safety would be enough to turn away some shoppers, including American exchange student Shannon Atwell. The 21-year-old spent $18.50 on a dress, sunglasses and handbag at Primark last week. “I didn’t buy a ($20) dress because I thought it was too much,” she said. “If prices went up I wouldn’t buy from here.”

As attention turns to Bangladesh, Primark is among the companies with the most to lose. The retailer has more than doubled sales in the past five years to $5.4 billion, far outpacing rivals on the British high street like Hennes & Mauritz and billionaire Philip Green’s Topshop. That has been driven by a focus on trendy, regularly updated fashions and low prices on garments imported from Bangladesh and other Asian countries.

Primark says it hired a supplier called Simple Approach to make some of its garments. Simple Approach, in turn, contracted with a company named New Wave, which had a workshop in the collapsed building.

Since the factory collapse, Primark has vowed to push for structural surveys of buildings as part of supplier audits. Spokesman Chris Barrie said the retailer has sent senior staff to Bangladesh to work with a non-governmental organization to get food and other assistance to the community. He declined to comment further.

The Ethical Trading Initiative, a consortium of apparel makers, trade unions and non-governmental organizations that establishes codes of conduct for companies, has spoken out against the “horrific incident” in Savar and called for better safety. The consortium declined to comment specifically on Primark’s sourcing practices.

“This terrible tragedy highlights the urgency of putting a stop to the race to the bottom in supplying cheap means of production to international brands,” said Jyrki Raina, general secretary of the Industrial Global Union, which says it represents 5 million garment workers worldwide, including some at the collapsed Bangladeshi factory.

— Bloomberg News

: Death toll from collapsed Bangladesh building passes 300: An eight-story building housing several garment factories collapsed near Bangladesh’s capital.

Associated Press

An eight-story building containing four clothing factories collapsed in Bangladesh on Wednesday, killing at least 87 people and trapping many more.