A trader mixes 48 kg of rice costing Rs. 35 per kg with

Solution

ATQ, Selling price of final mixture = Rs. 54 per kg Profit = 20% So, cost price of final mixture = 54 / 1.20 = Rs. 45 per kg Now, cost price of original mixture: Total cost = 48 × 35 + 32 × 50 = 1680 + 1600 = 3280 Total quantity = 48 + 32 = 80 kg Mean price = 3280 / 80 = Rs. 41 per kg Now mix rice of Rs. 41 and Rs. 65 to get mean Rs. 45 By alligation: Original mixture : New rice = (65 - 45) : (45 - 41) = 20 : 4 = 5 : 1 If 5 parts = 80 kg, then 1 part = 16 kg Hence, the quantity of rice added = 16 kg.