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As your Lease stipulates that no alterations should be made without consent, as opposed to it merely stipulating "no alterations", all the landlord can do is charge a reasonable admin fee in granting consent. The landlord is not entitled to charge a premium or make a profit in respect of any administration fees he seeks to charge on granting consent under a provision of the lease. In addition statute implies a term into the lease in these circumstances that consent must not unreasonably be withheld.
A leasehold valuation tribunal has the jurisdiction to determine whether an administration fee proposed by the landlord is reasonable in the event of disagreement or whether the landlord is entitled to withhold consent.
ideally, you will be able to reach agreement with the landlord as to what is reasonable in the circumstances. Normally nothing more than a reasonable admin fee for dealing with paperwork should be expected though agencies will not uncommonly propose fees of hundreds of pounds in the hope that a tenant will just pay it rather than challenge with the delay that would involve - in many cases their gamble pays off. If proposals effect the structure of the building (not the case I would think here) then there may also be a case for a surveyor to be involved. I
f you find that agreement cannot be reached, if necessary, you can apply to a leasehold valuation tribunal in order to determine whether the fee proposed by the landlord is reasonable based on the evidence the landlord can bring to demonstrate the same.
Here is the form you require to make such an application:
I hope this helps you and answers your question.