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Housing benefit and rent maths help please :)

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Hi all,
I'm having a stupid moment I think so I thought I'd ask for a bit of advice.
I'm trying to work out what our rent should be as I think it is wrong.
Here are the figures and hopefully someone can agree with me or tell me where I'm going wrong.

Rent is 898 per calender month = £10776 per year
Housing benefit is £116.67 per week or £6606.84 per year

So what I've done is take the difference between the two, which is 4169.16 and divided by 12 to get the amount we have to pay to the landlord per month. Am I right in thinking this is the correct way to do it or am I doing something wrong? It just seems very low compared to what we're actually paying.

Thanks!

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