Let the cost price of 1 kg wheat = Rs. 100
When selling at 10% profit, the selling price per kg = Rs. 110
The trader uses a weight 10% less than the actual measure.
When a customer asks for 1 kg, the trader gives only 0.9 kg but charges Rs. 110.
The actual cost for 0.9 kg:
Cost = 0.9×100
Cost = Rs. 90
Selling Price = Rs. 110
Cost Price = Rs. 90
Profit = 110−90
Profit = Rs. 20
Profit percentage:
Profit % = Cost PriceProfit×100
Profit % = 9020×100
Profit % = 902000
Profit % = 22.22%
Using the formula:
Actual Gain % = 100−Weight Loss %100+Profit %×100−100
Actual Gain % = 90110×100−100
Actual Gain % = 122.22−100
Actual Gain % = 22.22%
Therefore, the actual percentage gain is 22.22%.