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Density functional theory (DFT) combined with random phase approximation (RPA) was used to determine the dielectric function of (5,0) zigzag and (5,5) armchair boron nitride carbon nanotube (BNCNT). The concentration of carbon atoms in the BNCNT structures varies by 20%, 30%, 40%, 50% and 60% of the total number of atoms in the structure. The results of the optical properties depicted in the dielectric function graphs for each (5,0) zigzag and (5,5) armchair BNCNT. The effect of each quantity of the carbon concentrations to the optical properties of those nanotubes is also discussed. The large concentration of carbon atoms in one BNCNT structure makes the dielectric constant increase which is indicated on the graph of the dielectric function at the energy point 0 eV by a real scale height. Furthermore, the large carbon concentration in the (5.5) BNCNT creates a new absorption peak at 0 eV energy. So that, by understanding that the concentration of carbon atoms in the BNCNT framework affects the optical properties of these hybrid materials, the material can be implemented in multiple applications.