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A trader deals in two types of rice; type A and type B. Type A costs Ksh 400 per bag and type B costs Ksh 350 per bag. (a) The trader mixes 30 bags of type A with 50 bags of type B. If he sells the mixture at a profit of 20 %, calculate the selling price of one bag of the mixture. (b) The trader now mixes type A with type B in the ratio x : y respectively. If the cost of the mixture is Ksh 383.5