Especially in hunting, the choice of bullets has to be such that it is in keeping with the wild animals to be hunted. According to the desired effect on the target, deformation bullets or partial fragmentation bullets are used. Since both types of bullets are different, the position of the point of impact from the same weapon is different. According to the type of bullet used, the weapon must be oriented differently in relation to the target. This can be obstructive and if insufficient attention is paid, can result in misses. According to the invention, a shell-less cored steel bullet is used as a deformation bullet (1) or partial fragmentation bullet (2), having an identical caliber and a closed cavity (4) in the tip (3) of said bullet In order to achieve the same point of impact of said bullets (1,2) on the target, while maintaining the effect of the respectively selected bullet during the same handling of the weapon, during the same setting of the target in an identical position, the external volume, centre of gravity, mass and base copper-tin alloy are identical and the cavity (E) in the tip (3) of the bullet, consisting of a combination of cylindrical and conical sections (10, 12, 13; 20), in addition to the composition of the bullet material, are adapted to the effect of said bullet.