Let the cost price of 1kg of sugar be Rs. 100 . The selling price of 1kg sugar sold at 8% profit ⇒100×
108
100
= Rs. 108 The selling price of 1kg sugar sold at 18% profit ⇒100×
118
100
= Rs. 118 The average selling price of 1kg of sugar ⇒100×
114
100
= Rs. 114 Using the rule of the allegation, The ratio of sugar sold at 8% and 18% profit ⇒(118−114):(114−108) ⇒4:6=2:3 ∴ Quantity sold at 18% profit =