A saddle on which an individual is seated while riding a bicycle or a motorcycle. The saddle includes a flexible base to support the rider's weight and a stationary nose cap attached to the flexible base. One end of a bumper retaining block is pivotally and detachably connected to the nose cap. A resilient bumper is located between the flexible base and the bumper retaining block. A pair of rails which runs along the bottom of the flexible base is attached to the bicycle/motorcycle. The pair of rails is coupled to the bumper retaining block to push the block towards the flexible base with the resilient bumper sandwiched therebetween. The bumper retaining block can be detached from the stationary nose cap so that the resilient bumper can be replaced by a bumper having a different density to selectively control the flexibility of the base.