Cooling needs are increasing rapidly at hot climatic countries with increased global warming. Some commercial units and industries need more amount of cooling than the power such as cold storage, shopping complex etc. The existed vapor compression refrigeration (VCR) system demands electricity for its operation which is more expensive. The available combined power and cooling cycle (Goswami cycle) operates with ammonia-water mixture as working fluid having low cooling due to the saturated vapor at the inlet of evaporator. It also demands high ammonia concentration at turbine inlet to get cooling effect and suitable only at low sink temperature (10-12̊C). In this work, a new cooling cogeneration cycle has been proposed and solved to generate more cooling with adequate power generation from single source of heat with two options in working fluids i.e. ammonia-water mixture and LiBr-water mixture. The resulted cycle energy utilization factor (EUF), plant EUF, specific power, specific cooling and solar collector area are 0.27, 0.10, 15kW, 220kW and 10 m2/ kW for ammonia-water mixture plant and 0.82, 0.33, 25kW, 180kW and 3 m2/kW for LiBr-water mixture plant respectively.