Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when the hour hand moved by $240$ degrees. $P$ took two tea breaks of $15$ minutes each during her shift, but took no lunch break.$Q$ took only one lunch break for $20$ minutes, but no tea breaks. The market rate for consultants is USD $200$ per hour and breaks are not paid. After paying the consultants, the client shall have USD _______ remaining in the budget.