A child-resistant package includes a container having an open mouth, a conical external surface around the open mouth that widens away from the mouth and a wall extending from the conical external surface. A closure has a base wall, and a peripheral skirt having a first portion adjacent to the base wall and a second portion removably connected to the first portion. An annular first wall extends from the base wall at a position radially inward from the skirt for spring/sealing engagement with the conical external surface of the container. A second wall extends from the base wall at a position radially inward from the first wall and, preferably, at an outward conical angle to the base wall. The second portion of the skirt and the wall on the container have interlocking elements that resist removal of the closure from the container in a child-resistant mode of operation absent a force against the first wall to disengage the interlocking elements. The second portion of the skirt is frangibly removable from the first portion to remove the interlocking elements from the skirt so that the closure is securable to the container in a non-child-resistant mode of operation with the second wall received by snap-fit within the container mouth.