A dishonest shopkeeper defrauds to the extent of P% in buying as well as selling goods by using false weight. Find his profit percent?

\(\frac{200P}{100-P}\)%

Let the actual weight = 100

Weight at the time of buying = (100+P)

Weight at the time of selling = (100 - P)

Profit % = \(\frac{(100 + P - 100 + P)}{100 - P}\) x 100

            = \(\frac{200P}{100 - P}\)%