A merchant mixes 50 kg of rice at ₹60/kg with a dearer variety at ₹80/kg. He sells the blend at ₹77/kg and gains 10% profit. How many kg of the dearer variety did he add?

Explanation

Given: ​ Type 1: 50 kg @ ₹60/kg Type 2: x kg @ ₹80/kg Selling Price (SP) of Mix = ₹77/kg Profit = 10% Solution: Find Cost Price (CP) of Mixture. SP 77 CP = = = ₹70/kg 1 + Profit% 1.1 ​ ​ Apply Alligation. Price 1 (60) Price 2 (80) Mean (70) (80 − 70) = 10 : (70 − 60) = 10 Ratio of Quantity = 10 : 10 = 1 : 1 Since Quantity 1 is 50 kg, Quantity 2 must also be 50 kg. Final Answer 50 kg​