Emergence of chip multiprocessor systems has dramatically increased the performance potential of computer systems. Since the amount of exploited parallelism is directly influenced by the selection of the algorithm, algorithmic choice also plays a critical role in achieving high performance on modern architectures. Hence, in the era of multicore computing, it is important to re-evaluate algorithms efficiency for key problem domains. This paper investigates the impact of algorithmic choice on the performance of parallel implementations of the integral knapsack problem on multicore architectures. The study considers two algorithms and their parallel implementations, and examines several aspects of performance including speedup and scalability.