Number of electrons in Cl- = 17 + 1 = 18 electrons
Electronic configuration of Cl- = 2,8,8 = Electronic configuration of Argon
So, Cl has to gain only one electron to get into stable noble gas configuration.
In the case of ClO4-, oxidation state of Cl ⇒ x + (4*-2) = -1
⇒ +7
So, Cl has to lose 7 electrons to attain stable noble gas configuration which needs a lot of energy.
Hence, Cl- more stable than ClO4- .