Shaving a Persian is quite common, but it's ultimately up to the owner. Sometimes the knots can be too horrendous. Or maybe it's just time to let your Persian grow out a fresh coat. Either way, a shaved Persian is certainly easier to groom!
Many owners have their Persians shaved by a professional groomer every now and then. The "lion cut" is very popular. It looks exactly the way it sounds. The head, legs, and some or all of the tail are left unshaven.