Concrete is the most supreme material of construction which consists of cement, coarse aggregate, fine aggregate and appropriate amount of water. Due to intolerable cost of aggregates used in the making of concrete, Civil Engineering Researchers across the world are trying to produce reclaimable and resource saving concrete for the purpose of construction. Also due to the deposition of waste material on landfill, several environmental problems arise. To overcome such problems alternate waste materials can be taken into consideration such as waste marble dust, waste glass, fly ash, ceramic powder, e-waste, reclaimed asphalt pavement etc. This paper is a brief study on the partial replacement of cement with waste marble dust (WMD) and coarse aggregate (CA) with reclaimed asphalt pavement (RAP).The results indicated that optimum percentage replacement of RAP and WMD is taken as 30 and 10% respectively because on 30% replacement of coarse aggregate with RAP the 28 days compressive strength decreases by 18.41% while accomplishing the minimum strength benchmark of M30 grade of concrete and on 10% replacement of cement with WMD it is increased by 20.33% as compared to the conventional mix. Thereafter, a mix of concrete containing 10% WMD and 30% RAP is prepared; the 28-day compressive strength of this mix is increased by 0.108% as compared to the conventional concrete and similar trend can be seen in flexural strength and split tensile strength. So, the study suggested that WMD can be used as a substitutional cementitious material which when mixed with RAP in proper proportion makes the strength of RAP containing concrete at least equal to the conventional concrete.