A dishonest shopkeeper promise to sell his goods at cost price and makes a cheating of 10% in weight at the time of buying the goods and 10% cheating in weight at the time of selling the goods. Find the profit percent.

22\(\frac{2 }{9}\)%

Let the actual weight = 1000 gm and

Total cost price = Rs. 1000

Due to cheating he actually gets = 1000 × \(\frac{110}{100}\) = 1100 gm

Due to cheating he actually sell = 1000 × \(\frac{90}{100}\) = 900 gm

Profit = 1100 - 900 = 200gm

Profit percent = \(\frac{200}{900}\) × 100 = 22\(\frac{2}{9}\)%