A clock fixed on the wall shows a time of $4:25$. The time shown by its image on a plane mirror fixed to the opposite wall will be

To find the mirror image time of a standard $12$ -hour format clock, subtract the given actual time from $11:60$ (which represents $12:00$).
$$\text{Mirror Time}=11:60-4:25$$

Performing the subtraction:

* Minutes: $60-25=35$
* Hours: $11-4=7$

Thus, the mirror image shows a time of $7:35$.