Lone parents have to work 16hrs/wk minimum to get WTC, don't need to work at all for CTC of course, and there is no maximum hours limit for either. It could be the case that there would be little financial gain overall if she increased her hours however. Increased earnings generally results in reduced tax credits, and the earnings and tax credits will be taken into account as income for the Housing Benefit anf Council Tax Benefit. There is a "poverty trap" for tenants here. Remember though that her Tax Credit entitlement for this tax year will still be based on last years lower earnings, provided the difference is less than £25000, so the current TC award may not reduce.
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