this entirely depends on your level of equity and affordability.
1st off the total including the additional borrowing cant be more then 80%, in the current climate mainstrean lenders will not allow this, niche lenders may, however they will make sure they bleed you dry with extortionate fees and interest rates.
2nd affordability, 40k is a relatively small figure however you must again be able to sure that you will be able to afford the higher payments, this requires that you fit into the lenders own affordabiliuty calculator.
Bear in mind the further you stretch either of these conditions the worse a deal you will get from the lender as you will be increasing risk proportionatly (in the eyes of the lender)
also if your are still within a tie-in period with your current lender you will need to pay Early Repayment Charge to release yourself from your current deal, this fee can be quite high (3-8k)
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