Requesting Higher Deposit for Pets in Rentals

Hi, am I allowed to request a high deposit for a pet in our rental?

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Deposits and Tenancy Deposit Schemes

Many landlords take a deposit from tenants to hold for the duration of the tenancy. When the tenant moves out, this is returned to the tenant less any deductions permitted: typically for damage (above fair wear and tear), additional cleaning, and cover any outstanding rent. Note: deposits can only be withheld if stipulated what the deposit is being held against in the contract.