WHERE `h_id`='$h_id' AND LEFT JOIN
This will not work, you need to update the helper request as follows:
(SELECT COUNT(`check_out`) FROM `room_info` LEFT JOIN `room_type` ON room_type.rt_type=room_info.room_type WHERE `h_id`='$h_id')
By the way, you have )); at the end of the request - check it.
SELECT * FROM `room_type` WHERE h_id='$h_id' AND `rt_oc` >= '$tperson' AND `rt_num` < (SELECT COUNT(`check_out`) FROM `room_info` LEFT JOIN `room_type` ON room_type.rt_type=room_info.room_type WHERE `h_id`='$h_id')
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