Costs included those incurred by police, the NHS and the council, as well as welfare benefits and the cost of associated problems like drug abuse and truancy.
The annual figure of £273,781 includes a year's foster care at £900 per week, £24,000 to tackle the risk of a young prolific offender and £23,200 to deal with domestic violence in each nuisance family.
There are also costs for eviction, temporary accommodation post-eviction and money to tackle substance misuse as well as issuing antisocial behaviour orders.
But the council said its "tough love" Family Recovery Programme, which costs around £19,500 per family, saved £2m over the past year following falls in antisocial behaviour, domestic violence, poor parenting and truancy.
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