Profit Percentage =(( Selling Price - Cost Price )∕ Cost Price )×100 Calculation: Let the cost price of 1 kg of goods be ₹ 100 . Actual weight given =1kg−46% of 1 kg ⇒ Actual weight given =1kg−0.46kg ⇒ Actual weight given =0.54kg Selling price of 0.54 kg of goods =₹100 (since he claims to sell at cost price) Cost price of 0.54 kg of goods =0.54×100 ⇒ Cost price of 0.54 kg of goods = ₹54 Profit = Selling Price - Cost Price ⇒ Profit = ₹100 - ₹54 ⇒ Profit = ₹46 Profit Percentage =( Profit ∕ Cost Price )×100 ⇒ Profit Percentage =( ₹ 46∕ ₹ 54)×100 ⇒ Profit Percentage =85