The woman, Donna, called LBC host Shelagh Fogarty to complain if people made homeless in the blaze were rehoused in her luxury building, it would be “very unfair”.
The resident said her £15,500 service charge bill was so high it was like paying rent - complaining the 250 people who lost their homes in the fire would be "getting it for free", Mirror Online reports .
Her shocking statement comes after 68 social housing flats in the £2bn Kensington Row development were acquired to house families affected by the disaster.
Donna said: “I would feel really resentful if someone got the same thing for free.
"I feel sorry for those people but my husband and I work very hard to be able to afford this.
“And for someone to get it free, I would move.”
Fogarty replied in disbelief: “You’d move?”
Donna went on: “Our council tax bill is very, very high, our service charge bill is very, very high, so why should someone get it for free?
“I know it sounds harsh believe me I feel sorry for those people but I work very, very hard and so does my husband.”
Fogarty hit back: “It does sound harsh, you sound hard-hearted.”
She told her: “Lucky you that you’ve got that money and you haven’t been burned out of your home.”
Donna replied: “Nobody gives me anything for free, Shelagh.”
The comments were branded “horrendous” and lacking “humanity” on Twitter.
Julie Carpenter said: “Personally, I’d rather have the man who carried his neighbour down 11 flights of stairs that night living next to me than this woman.”
The properties that have been acquired are a mixture of one, two and three-bedroom flats, and the new accommodation is expected to be completed by the end of July.
Two-bedroom flats are currently being advertised for up to £2.4m, but it is understood the City of London Corporation paid around £10m for some of the flats thanks to an “extraordinary gesture” of goodwill by developer St Edward in selling the properties at their cost price.
The deal was brokered by the Homes and Communities Agency on behalf of the Government.
Those living in the tower are understood to have been given hotel accommodation in the meantime.
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