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David Cameron faces losing the next election over his hated Bedroom Tax, warns a shock poll for the Sunday People .

The paper can reveal that 60 per cent of voters now back Labour’s plans to abolish the charge , which has hit 660,000 of Britain’s households.

Fewer than one in four of those polled still supported the Bedroom Tax.

The exclusive ComRes poll shows public opinion has undergone a big swing against the so-called under-occupancy charge this year.

Back in February, 45 per cent of voters wanted it abolished, with 37 per cent supporting it. By April, 51 per cent were against the tax, with just 33 per cent in favour.

The latest figures will send shock waves through the Tory high command as their party conference kicks off in Manchester tomorrow.

Just as worrying for them is the poll finding that one in five Lib Dem supporters could vote Labour in protest at the Bedroom Tax.

If that happened at the 2015 General Election, it would deliver an extra 1.5 million votes to Ed Miliband .

The PM is already reeling from reactions to Ed Miliband’s pledge to freeze energy prices for 20 months if he wins power.

ComRes chairman Andrew Hawkins said: “A ComRes poll earlier this month found seven in ten voters wanted energy companies ­renationalised. So Ed Miliband’s plans to freeze energy prices were a no-brainer.

“Today’s poll shows Labour’s plan to scrap the Bedroom Tax is gaining momentum with voters. Importantly, it could persuade Liberal Democrat supporters to vote Labour.”

(Image: PA)

Our poll reveals a ten-point rise in the number of people who believe the Bedroom Tax shows how out of touch Tories are – up from 49 per cent to 59 per cent. Even a third of Tory voters say the PM should get rid of it.

Now Work and Pensions Secretary Iain Duncan Smith is being urged to use his conference speech to bury the tax.

His Labour shadow Liam Byrne said: “He must now see sense, admit he got this terribly wrong and announce he will repeal this awful Bedroom Tax before he does any more harm. It is the worst possible combination of incompetence and cruelty, a mean-spirited shambles. It’s got to go.”

In February only 35 per cent of voters thought the Government should give extra money to social housing providers to help deal with hardship cases. Now half say those worst hit should get money to cover the extra rent they must pay.

In February 46 per cent believed it was right that tenants with spare bedrooms should pay for them. Now that has dropped to 38 per cent. Opposition to the cruel charge has been gathering momentum since the Sunday People’s Stop The Bedroom Tax campaign began in January.

Mr Byrne added: “We have set out how we will pay for dropping this terrible policy in full – by ending Chancellor George Osborne’s tax loopholes.

“The truth is, there’s a real danger the tax will cause so much disruption it could end up costing more than it saves.”

In the Sunday People poll, 26 per cent of people were more inclined to vote Labour since Mr Miliband’s vow to axe the tax. Nearly seven out of ten people aged 45-54 said the tax must go. Opposition was highest in the North-East, where 75 per cent of those asked said it should be abandoned.

Mr Byrne added: “It’s time to axe the Bedroom Tax. If the Tories won’t do it, Labour will.”

ComRes interviewed 2,015 adults online.